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Finding the Fourth Proportional to 3,681.32, 5,077.08 and 3,397.01

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Solution

The fourth proportional to 3,681.32, 5,077.08 and 3,397.01 is: 4,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.32 : 5,077.08 = 3,397.01 : x
  2. Step 2: Convert to fraction form
    3,681.32/5,077.08 = 3,397.01/x
  3. Step 3: Cross multiply
    3,681.32x = 5,077.08 × 3,397.01
  4. Step 4: Simplify right side
    3,681.32x = 17,246,866.15
  5. Step 5: Solve for x
    x = 17,246,866.15/3,681.32
  6. Step 6: Final answer
    x = 4,684.97

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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.