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Finding the Fourth Proportional to 8,902.68, 13,349.54 and 2,977.52

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Solution

The fourth proportional to 8,902.68, 13,349.54 and 2,977.52 is: 4,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.68 : 13,349.54 = 2,977.52 : x
  2. Step 2: Convert to fraction form
    8,902.68/13,349.54 = 2,977.52/x
  3. Step 3: Cross multiply
    8,902.68x = 13,349.54 × 2,977.52
  4. Step 4: Simplify right side
    8,902.68x = 39,748,522.34
  5. Step 5: Solve for x
    x = 39,748,522.34/8,902.68
  6. Step 6: Final answer
    x = 4,464.78

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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.