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Finding the Fourth Proportional to 3,152.59, 4,728.52 and 843.91

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Solution

The fourth proportional to 3,152.59, 4,728.52 and 843.91 is: 1,265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.59 : 4,728.52 = 843.91 : x
  2. Step 2: Convert to fraction form
    3,152.59/4,728.52 = 843.91/x
  3. Step 3: Cross multiply
    3,152.59x = 4,728.52 × 843.91
  4. Step 4: Simplify right side
    3,152.59x = 3,990,445.31
  5. Step 5: Solve for x
    x = 3,990,445.31/3,152.59
  6. Step 6: Final answer
    x = 1,265.77

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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.