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Finding the Fourth Proportional to 4,983.98, 7,489.67 and 4,658.92

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Solution

The fourth proportional to 4,983.98, 7,489.67 and 4,658.92 is: 7,001.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.98 : 7,489.67 = 4,658.92 : x
  2. Step 2: Convert to fraction form
    4,983.98/7,489.67 = 4,658.92/x
  3. Step 3: Cross multiply
    4,983.98x = 7,489.67 × 4,658.92
  4. Step 4: Simplify right side
    4,983.98x = 34,893,731.34
  5. Step 5: Solve for x
    x = 34,893,731.34/4,983.98
  6. Step 6: Final answer
    x = 7,001.18

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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.