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Finding the Fourth Proportional to 5,744.72, 8,616.65 and 1,584.60

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Solution

The fourth proportional to 5,744.72, 8,616.65 and 1,584.60 is: 2,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.72 : 8,616.65 = 1,584.60 : x
  2. Step 2: Convert to fraction form
    5,744.72/8,616.65 = 1,584.60/x
  3. Step 3: Cross multiply
    5,744.72x = 8,616.65 × 1,584.60
  4. Step 4: Simplify right side
    5,744.72x = 13,653,935.67
  5. Step 5: Solve for x
    x = 13,653,935.67/5,744.72
  6. Step 6: Final answer
    x = 2,376.78

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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.