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Finding the Fourth Proportional to 5,221.96, 7,830.54 and 2,881.18

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Solution

The fourth proportional to 5,221.96, 7,830.54 and 2,881.18 is: 4,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.96 : 7,830.54 = 2,881.18 : x
  2. Step 2: Convert to fraction form
    5,221.96/7,830.54 = 2,881.18/x
  3. Step 3: Cross multiply
    5,221.96x = 7,830.54 × 2,881.18
  4. Step 4: Simplify right side
    5,221.96x = 22,561,195.24
  5. Step 5: Solve for x
    x = 22,561,195.24/5,221.96
  6. Step 6: Final answer
    x = 4,320.45

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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.