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Finding the Fourth Proportional to 5,689.98, 8,534.70 and 3,613.95

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Solution

The fourth proportional to 5,689.98, 8,534.70 and 3,613.95 is: 5,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.98 : 8,534.70 = 3,613.95 : x
  2. Step 2: Convert to fraction form
    5,689.98/8,534.70 = 3,613.95/x
  3. Step 3: Cross multiply
    5,689.98x = 8,534.70 × 3,613.95
  4. Step 4: Simplify right side
    5,689.98x = 30,843,979.07
  5. Step 5: Solve for x
    x = 30,843,979.07/5,689.98
  6. Step 6: Final answer
    x = 5,420.75

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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.