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Finding the Fourth Proportional to 5,773.48, 8,658.38 and 1,877

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Solution

The fourth proportional to 5,773.48, 8,658.38 and 1,877 is: 2,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.48 : 8,658.38 = 1,877 : x
  2. Step 2: Convert to fraction form
    5,773.48/8,658.38 = 1,877/x
  3. Step 3: Cross multiply
    5,773.48x = 8,658.38 × 1,877
  4. Step 4: Simplify right side
    5,773.48x = 16,251,779.26
  5. Step 5: Solve for x
    x = 16,251,779.26/5,773.48
  6. Step 6: Final answer
    x = 2,814.90

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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.