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Finding the Fourth Proportional to 5,772.76, 7,966.39 and 3,120.16

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Solution

The fourth proportional to 5,772.76, 7,966.39 and 3,120.16 is: 4,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.76 : 7,966.39 = 3,120.16 : x
  2. Step 2: Convert to fraction form
    5,772.76/7,966.39 = 3,120.16/x
  3. Step 3: Cross multiply
    5,772.76x = 7,966.39 × 3,120.16
  4. Step 4: Simplify right side
    5,772.76x = 24,856,411.42
  5. Step 5: Solve for x
    x = 24,856,411.42/5,772.76
  6. Step 6: Final answer
    x = 4,305.81

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1.5x scale

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.