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Finding the Fourth Proportional to 5,585.27, 7,706.10 and 3,596.98

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Solution

The fourth proportional to 5,585.27, 7,706.10 and 3,596.98 is: 4,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.27 : 7,706.10 = 3,596.98 : x
  2. Step 2: Convert to fraction form
    5,585.27/7,706.10 = 3,596.98/x
  3. Step 3: Cross multiply
    5,585.27x = 7,706.10 × 3,596.98
  4. Step 4: Simplify right side
    5,585.27x = 27,718,687.58
  5. Step 5: Solve for x
    x = 27,718,687.58/5,585.27
  6. Step 6: Final answer
    x = 4,962.82

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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.