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Finding the Fourth Proportional to 3,383.92, 5,073.96 and 2,470

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Solution

The fourth proportional to 3,383.92, 5,073.96 and 2,470 is: 3,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.92 : 5,073.96 = 2,470 : x
  2. Step 2: Convert to fraction form
    3,383.92/5,073.96 = 2,470/x
  3. Step 3: Cross multiply
    3,383.92x = 5,073.96 × 2,470
  4. Step 4: Simplify right side
    3,383.92x = 12,532,681.20
  5. Step 5: Solve for x
    x = 12,532,681.20/3,383.92
  6. Step 6: Final answer
    x = 3,703.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.