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Finding the Fourth Proportional to 3,470.73, 4,788.01 and 2,125.93

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Solution

The fourth proportional to 3,470.73, 4,788.01 and 2,125.93 is: 2,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.73 : 4,788.01 = 2,125.93 : x
  2. Step 2: Convert to fraction form
    3,470.73/4,788.01 = 2,125.93/x
  3. Step 3: Cross multiply
    3,470.73x = 4,788.01 × 2,125.93
  4. Step 4: Simplify right side
    3,470.73x = 10,178,963.47
  5. Step 5: Solve for x
    x = 10,178,963.47/3,470.73
  6. Step 6: Final answer
    x = 2,932.80

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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.