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Finding the Fourth Proportional to 4,507.50, 6,761.16 and 2,041.86

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Solution

The fourth proportional to 4,507.50, 6,761.16 and 2,041.86 is: 3,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.50 : 6,761.16 = 2,041.86 : x
  2. Step 2: Convert to fraction form
    4,507.50/6,761.16 = 2,041.86/x
  3. Step 3: Cross multiply
    4,507.50x = 6,761.16 × 2,041.86
  4. Step 4: Simplify right side
    4,507.50x = 13,805,342.16
  5. Step 5: Solve for x
    x = 13,805,342.16/4,507.50
  6. Step 6: Final answer
    x = 3,062.75

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Why These Related Problems?

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