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Finding the Fourth Proportional to 3,666.47, 5,059.76 and 1,987.91

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Solution

The fourth proportional to 3,666.47, 5,059.76 and 1,987.91 is: 2,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.47 : 5,059.76 = 1,987.91 : x
  2. Step 2: Convert to fraction form
    3,666.47/5,059.76 = 1,987.91/x
  3. Step 3: Cross multiply
    3,666.47x = 5,059.76 × 1,987.91
  4. Step 4: Simplify right side
    3,666.47x = 10,058,312.26
  5. Step 5: Solve for x
    x = 10,058,312.26/3,666.47
  6. Step 6: Final answer
    x = 2,743.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.