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Finding the Fourth Proportional to 5,715.48, 8,570.10 and 5,335.80

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Solution

The fourth proportional to 5,715.48, 8,570.10 and 5,335.80 is: 8,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.48 : 8,570.10 = 5,335.80 : x
  2. Step 2: Convert to fraction form
    5,715.48/8,570.10 = 5,335.80/x
  3. Step 3: Cross multiply
    5,715.48x = 8,570.10 × 5,335.80
  4. Step 4: Simplify right side
    5,715.48x = 45,728,339.58
  5. Step 5: Solve for x
    x = 45,728,339.58/5,715.48
  6. Step 6: Final answer
    x = 8,000.79

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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.