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Finding the Fourth Proportional to 4,737.46, 7,097.68 and 2,788.60

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Solution

The fourth proportional to 4,737.46, 7,097.68 and 2,788.60 is: 4,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.46 : 7,097.68 = 2,788.60 : x
  2. Step 2: Convert to fraction form
    4,737.46/7,097.68 = 2,788.60/x
  3. Step 3: Cross multiply
    4,737.46x = 7,097.68 × 2,788.60
  4. Step 4: Simplify right side
    4,737.46x = 19,792,590.45
  5. Step 5: Solve for x
    x = 19,792,590.45/4,737.46
  6. Step 6: Final answer
    x = 4,177.89

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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.