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Finding the Fourth Proportional to 4,535.38, 6,259.02 and 2,856.15

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Solution

The fourth proportional to 4,535.38, 6,259.02 and 2,856.15 is: 3,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.38 : 6,259.02 = 2,856.15 : x
  2. Step 2: Convert to fraction form
    4,535.38/6,259.02 = 2,856.15/x
  3. Step 3: Cross multiply
    4,535.38x = 6,259.02 × 2,856.15
  4. Step 4: Simplify right side
    4,535.38x = 17,876,699.97
  5. Step 5: Solve for x
    x = 17,876,699.97/4,535.38
  6. Step 6: Final answer
    x = 3,941.61

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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.