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Finding the Fourth Proportional to 4,131.92, 5,702.06 and 2,429.99

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Solution

The fourth proportional to 4,131.92, 5,702.06 and 2,429.99 is: 3,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.92 : 5,702.06 = 2,429.99 : x
  2. Step 2: Convert to fraction form
    4,131.92/5,702.06 = 2,429.99/x
  3. Step 3: Cross multiply
    4,131.92x = 5,702.06 × 2,429.99
  4. Step 4: Simplify right side
    4,131.92x = 13,855,955.19
  5. Step 5: Solve for x
    x = 13,855,955.19/4,131.92
  6. Step 6: Final answer
    x = 3,353.39

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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.