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Finding the Fourth Proportional to 3,646.17, 5,031.17 and 2,052.59

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Solution

The fourth proportional to 3,646.17, 5,031.17 and 2,052.59 is: 2,832.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.17 : 5,031.17 = 2,052.59 : x
  2. Step 2: Convert to fraction form
    3,646.17/5,031.17 = 2,052.59/x
  3. Step 3: Cross multiply
    3,646.17x = 5,031.17 × 2,052.59
  4. Step 4: Simplify right side
    3,646.17x = 10,326,909.21
  5. Step 5: Solve for x
    x = 10,326,909.21/3,646.17
  6. Step 6: Final answer
    x = 2,832.26

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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.