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Finding the Fourth Proportional to 4,753.81, 6,562.08 and 4,255.57

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Solution

The fourth proportional to 4,753.81, 6,562.08 and 4,255.57 is: 5,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.81 : 6,562.08 = 4,255.57 : x
  2. Step 2: Convert to fraction form
    4,753.81/6,562.08 = 4,255.57/x
  3. Step 3: Cross multiply
    4,753.81x = 6,562.08 × 4,255.57
  4. Step 4: Simplify right side
    4,753.81x = 27,925,390.79
  5. Step 5: Solve for x
    x = 27,925,390.79/4,753.81
  6. Step 6: Final answer
    x = 5,874.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.