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Finding the Fourth Proportional to 5,818.25, 8,727.65 and 1,658.54

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Solution

The fourth proportional to 5,818.25, 8,727.65 and 1,658.54 is: 2,487.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,818.25 : 8,727.65 = 1,658.54 : x
  2. Step 2: Convert to fraction form
    5,818.25/8,727.65 = 1,658.54/x
  3. Step 3: Cross multiply
    5,818.25x = 8,727.65 × 1,658.54
  4. Step 4: Simplify right side
    5,818.25x = 14,475,148.34
  5. Step 5: Solve for x
    x = 14,475,148.34/5,818.25
  6. Step 6: Final answer
    x = 2,487.89

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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.