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Finding the Fourth Proportional to 4,287, 5,916.15 and 2,424

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Solution

The fourth proportional to 4,287, 5,916.15 and 2,424 is: 3,345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287 : 5,916.15 = 2,424 : x
  2. Step 2: Convert to fraction form
    4,287/5,916.15 = 2,424/x
  3. Step 3: Cross multiply
    4,287x = 5,916.15 × 2,424
  4. Step 4: Simplify right side
    4,287x = 14,340,747.60
  5. Step 5: Solve for x
    x = 14,340,747.60/4,287
  6. Step 6: Final answer
    x = 3,345.17

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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.