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Finding the Fourth Proportional to 5,254.48, 7,881.72 and 3,063.20

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Solution

The fourth proportional to 5,254.48, 7,881.72 and 3,063.20 is: 4,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.48 : 7,881.72 = 3,063.20 : x
  2. Step 2: Convert to fraction form
    5,254.48/7,881.72 = 3,063.20/x
  3. Step 3: Cross multiply
    5,254.48x = 7,881.72 × 3,063.20
  4. Step 4: Simplify right side
    5,254.48x = 24,143,284.70
  5. Step 5: Solve for x
    x = 24,143,284.70/5,254.48
  6. Step 6: Final answer
    x = 4,594.80

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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.