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Finding the Fourth Proportional to 4,312.96, 5,951.71 and 2,424.49

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Solution

The fourth proportional to 4,312.96, 5,951.71 and 2,424.49 is: 3,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.96 : 5,951.71 = 2,424.49 : x
  2. Step 2: Convert to fraction form
    4,312.96/5,951.71 = 2,424.49/x
  3. Step 3: Cross multiply
    4,312.96x = 5,951.71 × 2,424.49
  4. Step 4: Simplify right side
    4,312.96x = 14,429,861.38
  5. Step 5: Solve for x
    x = 14,429,861.38/4,312.96
  6. Step 6: Final answer
    x = 3,345.70

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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.