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Finding the Fourth Proportional to 3,901.64, 5,386.04 and 2,505.20

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Solution

The fourth proportional to 3,901.64, 5,386.04 and 2,505.20 is: 3,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.64 : 5,386.04 = 2,505.20 : x
  2. Step 2: Convert to fraction form
    3,901.64/5,386.04 = 2,505.20/x
  3. Step 3: Cross multiply
    3,901.64x = 5,386.04 × 2,505.20
  4. Step 4: Simplify right side
    3,901.64x = 13,493,107.41
  5. Step 5: Solve for x
    x = 13,493,107.41/3,901.64
  6. Step 6: Final answer
    x = 3,458.32

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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.