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Finding the Fourth Proportional to 5,760.16, 8,641.16 and 2,473.28

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Solution

The fourth proportional to 5,760.16, 8,641.16 and 2,473.28 is: 3,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.16 : 8,641.16 = 2,473.28 : x
  2. Step 2: Convert to fraction form
    5,760.16/8,641.16 = 2,473.28/x
  3. Step 3: Cross multiply
    5,760.16x = 8,641.16 × 2,473.28
  4. Step 4: Simplify right side
    5,760.16x = 21,372,008.20
  5. Step 5: Solve for x
    x = 21,372,008.20/5,760.16
  6. Step 6: Final answer
    x = 3,710.32

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1.5x scale

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.