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Finding the Fourth Proportional to 3,314.76, 4,972.98 and 1,006.28

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Solution

The fourth proportional to 3,314.76, 4,972.98 and 1,006.28 is: 1,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.76 : 4,972.98 = 1,006.28 : x
  2. Step 2: Convert to fraction form
    3,314.76/4,972.98 = 1,006.28/x
  3. Step 3: Cross multiply
    3,314.76x = 4,972.98 × 1,006.28
  4. Step 4: Simplify right side
    3,314.76x = 5,004,210.31
  5. Step 5: Solve for x
    x = 5,004,210.31/3,314.76
  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.