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Finding the Fourth Proportional to 5,602.98, 8,407.31 and 2,318.43

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Solution

The fourth proportional to 5,602.98, 8,407.31 and 2,318.43 is: 3,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.98 : 8,407.31 = 2,318.43 : x
  2. Step 2: Convert to fraction form
    5,602.98/8,407.31 = 2,318.43/x
  3. Step 3: Cross multiply
    5,602.98x = 8,407.31 × 2,318.43
  4. Step 4: Simplify right side
    5,602.98x = 19,491,748.13
  5. Step 5: Solve for x
    x = 19,491,748.13/5,602.98
  6. Step 6: Final answer
    x = 3,478.82

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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.