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Finding the Fourth Proportional to 3,470.92, 5,207.15 and 1,005.84

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Solution

The fourth proportional to 3,470.92, 5,207.15 and 1,005.84 is: 1,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.92 : 5,207.15 = 1,005.84 : x
  2. Step 2: Convert to fraction form
    3,470.92/5,207.15 = 1,005.84/x
  3. Step 3: Cross multiply
    3,470.92x = 5,207.15 × 1,005.84
  4. Step 4: Simplify right side
    3,470.92x = 5,237,559.76
  5. Step 5: Solve for x
    x = 5,237,559.76/3,470.92
  6. Step 6: Final answer
    x = 1,508.98

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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.