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Finding the Fourth Proportional to 3,417.64, 4,715.71 and 2,001.26

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Solution

The fourth proportional to 3,417.64, 4,715.71 and 2,001.26 is: 2,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.64 : 4,715.71 = 2,001.26 : x
  2. Step 2: Convert to fraction form
    3,417.64/4,715.71 = 2,001.26/x
  3. Step 3: Cross multiply
    3,417.64x = 4,715.71 × 2,001.26
  4. Step 4: Simplify right side
    3,417.64x = 9,437,340.72
  5. Step 5: Solve for x
    x = 9,437,340.72/3,417.64
  6. Step 6: Final answer
    x = 2,761.36

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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.