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Finding the Fourth Proportional to 5,681, 7,840.52 and 3,443.72

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Solution

The fourth proportional to 5,681, 7,840.52 and 3,443.72 is: 4,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681 : 7,840.52 = 3,443.72 : x
  2. Step 2: Convert to fraction form
    5,681/7,840.52 = 3,443.72/x
  3. Step 3: Cross multiply
    5,681x = 7,840.52 × 3,443.72
  4. Step 4: Simplify right side
    5,681x = 27,000,555.53
  5. Step 5: Solve for x
    x = 27,000,555.53/5,681
  6. Step 6: Final answer
    x = 4,752.78

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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.