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Finding the Fourth Proportional to 4,148.92, 5,725.13 and 2,470.05

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Solution

The fourth proportional to 4,148.92, 5,725.13 and 2,470.05 is: 3,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.92 : 5,725.13 = 2,470.05 : x
  2. Step 2: Convert to fraction form
    4,148.92/5,725.13 = 2,470.05/x
  3. Step 3: Cross multiply
    4,148.92x = 5,725.13 × 2,470.05
  4. Step 4: Simplify right side
    4,148.92x = 14,141,357.36
  5. Step 5: Solve for x
    x = 14,141,357.36/4,148.92
  6. Step 6: Final answer
    x = 3,408.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.