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Finding the Fourth Proportional to 3,868.16, 5,802.44 and 1,404.54

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Solution

The fourth proportional to 3,868.16, 5,802.44 and 1,404.54 is: 2,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.16 : 5,802.44 = 1,404.54 : x
  2. Step 2: Convert to fraction form
    3,868.16/5,802.44 = 1,404.54/x
  3. Step 3: Cross multiply
    3,868.16x = 5,802.44 × 1,404.54
  4. Step 4: Simplify right side
    3,868.16x = 8,149,752.05
  5. Step 5: Solve for x
    x = 8,149,752.05/3,868.16
  6. Step 6: Final answer
    x = 2,106.88

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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.