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Finding the Fourth Proportional to 4,641.72, 6,406.11 and 2,652.57

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Solution

The fourth proportional to 4,641.72, 6,406.11 and 2,652.57 is: 3,660.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.72 : 6,406.11 = 2,652.57 : x
  2. Step 2: Convert to fraction form
    4,641.72/6,406.11 = 2,652.57/x
  3. Step 3: Cross multiply
    4,641.72x = 6,406.11 × 2,652.57
  4. Step 4: Simplify right side
    4,641.72x = 16,992,655.20
  5. Step 5: Solve for x
    x = 16,992,655.20/4,641.72
  6. Step 6: Final answer
    x = 3,660.85

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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.