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Finding the Fourth Proportional to 3,061.52, 4,587.96 and 1,523.60

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Solution

The fourth proportional to 3,061.52, 4,587.96 and 1,523.60 is: 2,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.52 : 4,587.96 = 1,523.60 : x
  2. Step 2: Convert to fraction form
    3,061.52/4,587.96 = 1,523.60/x
  3. Step 3: Cross multiply
    3,061.52x = 4,587.96 × 1,523.60
  4. Step 4: Simplify right side
    3,061.52x = 6,990,215.86
  5. Step 5: Solve for x
    x = 6,990,215.86/3,061.52
  6. Step 6: Final answer
    x = 2,283.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.