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Finding the Fourth Proportional to 3,522.38, 4,856.27 and 3,030.30

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Solution

The fourth proportional to 3,522.38, 4,856.27 and 3,030.30 is: 4,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.38 : 4,856.27 = 3,030.30 : x
  2. Step 2: Convert to fraction form
    3,522.38/4,856.27 = 3,030.30/x
  3. Step 3: Cross multiply
    3,522.38x = 4,856.27 × 3,030.30
  4. Step 4: Simplify right side
    3,522.38x = 14,715,939.83
  5. Step 5: Solve for x
    x = 14,715,939.83/3,522.38
  6. Step 6: Final answer
    x = 4,177.85

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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.