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Finding the Fourth Proportional to 5,779.41, 8,658.87 and 4,737.87

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Solution

The fourth proportional to 5,779.41, 8,658.87 and 4,737.87 is: 7,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.41 : 8,658.87 = 4,737.87 : x
  2. Step 2: Convert to fraction form
    5,779.41/8,658.87 = 4,737.87/x
  3. Step 3: Cross multiply
    5,779.41x = 8,658.87 × 4,737.87
  4. Step 4: Simplify right side
    5,779.41x = 41,024,600.41
  5. Step 5: Solve for x
    x = 41,024,600.41/5,779.41
  6. Step 6: Final answer
    x = 7,098.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.