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Finding the Fourth Proportional to 4,277.58, 5,902.80 and 2,484.78

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Solution

The fourth proportional to 4,277.58, 5,902.80 and 2,484.78 is: 3,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.58 : 5,902.80 = 2,484.78 : x
  2. Step 2: Convert to fraction form
    4,277.58/5,902.80 = 2,484.78/x
  3. Step 3: Cross multiply
    4,277.58x = 5,902.80 × 2,484.78
  4. Step 4: Simplify right side
    4,277.58x = 14,667,159.38
  5. Step 5: Solve for x
    x = 14,667,159.38/4,277.58
  6. Step 6: Final answer
    x = 3,428.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.