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Finding the Fourth Proportional to 3,314.96, 4,972.42 and 1,006.46

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Solution

The fourth proportional to 3,314.96, 4,972.42 and 1,006.46 is: 1,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.96 : 4,972.42 = 1,006.46 : x
  2. Step 2: Convert to fraction form
    3,314.96/4,972.42 = 1,006.46/x
  3. Step 3: Cross multiply
    3,314.96x = 4,972.42 × 1,006.46
  4. Step 4: Simplify right side
    3,314.96x = 5,004,536.80
  5. Step 5: Solve for x
    x = 5,004,536.80/3,314.96
  6. Step 6: Final answer
    x = 1,509.68

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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.