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Finding the Fourth Proportional to 5,728.31, 8,592.72 and 1,568.22

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Solution

The fourth proportional to 5,728.31, 8,592.72 and 1,568.22 is: 2,352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.31 : 8,592.72 = 1,568.22 : x
  2. Step 2: Convert to fraction form
    5,728.31/8,592.72 = 1,568.22/x
  3. Step 3: Cross multiply
    5,728.31x = 8,592.72 × 1,568.22
  4. Step 4: Simplify right side
    5,728.31x = 13,475,275.36
  5. Step 5: Solve for x
    x = 13,475,275.36/5,728.31
  6. Step 6: Final answer
    x = 2,352.40

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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.