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Finding the Fourth Proportional to 5,007.24, 6,903.36 and 3,681

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Solution

The fourth proportional to 5,007.24, 6,903.36 and 3,681 is: 5,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.24 : 6,903.36 = 3,681 : x
  2. Step 2: Convert to fraction form
    5,007.24/6,903.36 = 3,681/x
  3. Step 3: Cross multiply
    5,007.24x = 6,903.36 × 3,681
  4. Step 4: Simplify right side
    5,007.24x = 25,411,268.16
  5. Step 5: Solve for x
    x = 25,411,268.16/5,007.24
  6. Step 6: Final answer
    x = 5,074.91

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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.