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Finding the Fourth Proportional to 5,537.58, 7,641.18 and 4,701.66

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Solution

The fourth proportional to 5,537.58, 7,641.18 and 4,701.66 is: 6,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.58 : 7,641.18 = 4,701.66 : x
  2. Step 2: Convert to fraction form
    5,537.58/7,641.18 = 4,701.66/x
  3. Step 3: Cross multiply
    5,537.58x = 7,641.18 × 4,701.66
  4. Step 4: Simplify right side
    5,537.58x = 35,926,230.36
  5. Step 5: Solve for x
    x = 35,926,230.36/5,537.58
  6. Step 6: Final answer
    x = 6,487.71

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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.