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Finding the Fourth Proportional to 5,658.41, 8,484.21 and 2,537.85

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Solution

The fourth proportional to 5,658.41, 8,484.21 and 2,537.85 is: 3,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.41 : 8,484.21 = 2,537.85 : x
  2. Step 2: Convert to fraction form
    5,658.41/8,484.21 = 2,537.85/x
  3. Step 3: Cross multiply
    5,658.41x = 8,484.21 × 2,537.85
  4. Step 4: Simplify right side
    5,658.41x = 21,531,684.16
  5. Step 5: Solve for x
    x = 21,531,684.16/5,658.41
  6. Step 6: Final answer
    x = 3,805.25

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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.