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Finding the Fourth Proportional to 4,070.92, 5,618.70 and 2,392.48

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Solution

The fourth proportional to 4,070.92, 5,618.70 and 2,392.48 is: 3,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.92 : 5,618.70 = 2,392.48 : x
  2. Step 2: Convert to fraction form
    4,070.92/5,618.70 = 2,392.48/x
  3. Step 3: Cross multiply
    4,070.92x = 5,618.70 × 2,392.48
  4. Step 4: Simplify right side
    4,070.92x = 13,442,627.38
  5. Step 5: Solve for x
    x = 13,442,627.38/4,070.92
  6. Step 6: Final answer
    x = 3,302.11

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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.