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Finding the Fourth Proportional to 5,255.16, 7,874.52 and 4,471.95

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Solution

The fourth proportional to 5,255.16, 7,874.52 and 4,471.95 is: 6,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.16 : 7,874.52 = 4,471.95 : x
  2. Step 2: Convert to fraction form
    5,255.16/7,874.52 = 4,471.95/x
  3. Step 3: Cross multiply
    5,255.16x = 7,874.52 × 4,471.95
  4. Step 4: Simplify right side
    5,255.16x = 35,214,459.71
  5. Step 5: Solve for x
    x = 35,214,459.71/5,255.16
  6. Step 6: Final answer
    x = 6,700.93

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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.