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Finding the Fourth Proportional to 5,643.28, 7,787.12 and 3,125.12

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Solution

The fourth proportional to 5,643.28, 7,787.12 and 3,125.12 is: 4,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.28 : 7,787.12 = 3,125.12 : x
  2. Step 2: Convert to fraction form
    5,643.28/7,787.12 = 3,125.12/x
  3. Step 3: Cross multiply
    5,643.28x = 7,787.12 × 3,125.12
  4. Step 4: Simplify right side
    5,643.28x = 24,335,684.45
  5. Step 5: Solve for x
    x = 24,335,684.45/5,643.28
  6. Step 6: Final answer
    x = 4,312.33

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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.