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Finding the Fourth Proportional to 4,139.64, 5,713.02 and 2,371.32

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Solution

The fourth proportional to 4,139.64, 5,713.02 and 2,371.32 is: 3,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.64 : 5,713.02 = 2,371.32 : x
  2. Step 2: Convert to fraction form
    4,139.64/5,713.02 = 2,371.32/x
  3. Step 3: Cross multiply
    4,139.64x = 5,713.02 × 2,371.32
  4. Step 4: Simplify right side
    4,139.64x = 13,547,398.59
  5. Step 5: Solve for x
    x = 13,547,398.59/4,139.64
  6. Step 6: Final answer
    x = 3,272.60

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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.