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Finding the Fourth Proportional to 4,615.41, 6,923.14 and 1,842.31

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Solution

The fourth proportional to 4,615.41, 6,923.14 and 1,842.31 is: 2,763.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.41 : 6,923.14 = 1,842.31 : x
  2. Step 2: Convert to fraction form
    4,615.41/6,923.14 = 1,842.31/x
  3. Step 3: Cross multiply
    4,615.41x = 6,923.14 × 1,842.31
  4. Step 4: Simplify right side
    4,615.41x = 12,754,574.10
  5. Step 5: Solve for x
    x = 12,754,574.10/4,615.41
  6. Step 6: Final answer
    x = 2,763.47

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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.