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Finding the Fourth Proportional to 5,877.20, 8,758.18 and 5,358.80

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Solution

The fourth proportional to 5,877.20, 8,758.18 and 5,358.80 is: 7,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.20 : 8,758.18 = 5,358.80 : x
  2. Step 2: Convert to fraction form
    5,877.20/8,758.18 = 5,358.80/x
  3. Step 3: Cross multiply
    5,877.20x = 8,758.18 × 5,358.80
  4. Step 4: Simplify right side
    5,877.20x = 46,933,334.98
  5. Step 5: Solve for x
    x = 46,933,334.98/5,877.20
  6. Step 6: Final answer
    x = 7,985.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.