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Finding the Fourth Proportional to 5,780.70, 8,658.90 and 4,542.21

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Solution

The fourth proportional to 5,780.70, 8,658.90 and 4,542.21 is: 6,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.70 : 8,658.90 = 4,542.21 : x
  2. Step 2: Convert to fraction form
    5,780.70/8,658.90 = 4,542.21/x
  3. Step 3: Cross multiply
    5,780.70x = 8,658.90 × 4,542.21
  4. Step 4: Simplify right side
    5,780.70x = 39,330,542.17
  5. Step 5: Solve for x
    x = 39,330,542.17/5,780.70
  6. Step 6: Final answer
    x = 6,803.77

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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.