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Finding the Fourth Proportional to 4,737.34, 7,097.49 and 2,788.48

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Solution

The fourth proportional to 4,737.34, 7,097.49 and 2,788.48 is: 4,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.34 : 7,097.49 = 2,788.48 : x
  2. Step 2: Convert to fraction form
    4,737.34/7,097.49 = 2,788.48/x
  3. Step 3: Cross multiply
    4,737.34x = 7,097.49 × 2,788.48
  4. Step 4: Simplify right side
    4,737.34x = 19,791,208.92
  5. Step 5: Solve for x
    x = 19,791,208.92/4,737.34
  6. Step 6: Final answer
    x = 4,177.70

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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.