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Finding the Fourth Proportional to 3,923,693.07, 5,886,665.21 and 1,648,047.12

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Solution

The fourth proportional to 3,923,693.07, 5,886,665.21 and 1,648,047.12 is: 2,472,543.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923,693.07 : 5,886,665.21 = 1,648,047.12 : x
  2. Step 2: Convert to fraction form
    3,923,693.07/5,886,665.21 = 1,648,047.12/x
  3. Step 3: Cross multiply
    3,923,693.07x = 5,886,665.21 × 1,648,047.12
  4. Step 4: Simplify right side
    3,923,693.07x = 9,701,501,645,744.70
  5. Step 5: Solve for x
    x = 9,701,501,645,744.70/3,923,693.07
  6. Step 6: Final answer
    x = 2,472,543.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.