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Finding the Fourth Proportional to 5,387.46, 8,082.12 and 1,688.98

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Solution

The fourth proportional to 5,387.46, 8,082.12 and 1,688.98 is: 2,533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.46 : 8,082.12 = 1,688.98 : x
  2. Step 2: Convert to fraction form
    5,387.46/8,082.12 = 1,688.98/x
  3. Step 3: Cross multiply
    5,387.46x = 8,082.12 × 1,688.98
  4. Step 4: Simplify right side
    5,387.46x = 13,650,539.04
  5. Step 5: Solve for x
    x = 13,650,539.04/5,387.46
  6. Step 6: Final answer
    x = 2,533.76

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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.