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Finding the Fourth Proportional to 5,148.31, 7,721.28 and 3,068.90

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Solution

The fourth proportional to 5,148.31, 7,721.28 and 3,068.90 is: 4,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.31 : 7,721.28 = 3,068.90 : x
  2. Step 2: Convert to fraction form
    5,148.31/7,721.28 = 3,068.90/x
  3. Step 3: Cross multiply
    5,148.31x = 7,721.28 × 3,068.90
  4. Step 4: Simplify right side
    5,148.31x = 23,695,855.50
  5. Step 5: Solve for x
    x = 23,695,855.50/5,148.31
  6. Step 6: Final answer
    x = 4,602.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.