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Finding the Fourth Proportional to 3,470.08, 4,789.60 and 2,407.92

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Solution

The fourth proportional to 3,470.08, 4,789.60 and 2,407.92 is: 3,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.08 : 4,789.60 = 2,407.92 : x
  2. Step 2: Convert to fraction form
    3,470.08/4,789.60 = 2,407.92/x
  3. Step 3: Cross multiply
    3,470.08x = 4,789.60 × 2,407.92
  4. Step 4: Simplify right side
    3,470.08x = 11,532,973.63
  5. Step 5: Solve for x
    x = 11,532,973.63/3,470.08
  6. Step 6: Final answer
    x = 3,323.55

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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.