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Finding the Fourth Proportional to 5,658.83, 8,488.23 and 1,763.24

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Solution

The fourth proportional to 5,658.83, 8,488.23 and 1,763.24 is: 2,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.83 : 8,488.23 = 1,763.24 : x
  2. Step 2: Convert to fraction form
    5,658.83/8,488.23 = 1,763.24/x
  3. Step 3: Cross multiply
    5,658.83x = 8,488.23 × 1,763.24
  4. Step 4: Simplify right side
    5,658.83x = 14,966,737.61
  5. Step 5: Solve for x
    x = 14,966,737.61/5,658.83
  6. Step 6: Final answer
    x = 2,644.85

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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.