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Finding the Fourth Proportional to 4,535.88, 6,259.17 and 2,546.74

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Solution

The fourth proportional to 4,535.88, 6,259.17 and 2,546.74 is: 3,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.88 : 6,259.17 = 2,546.74 : x
  2. Step 2: Convert to fraction form
    4,535.88/6,259.17 = 2,546.74/x
  3. Step 3: Cross multiply
    4,535.88x = 6,259.17 × 2,546.74
  4. Step 4: Simplify right side
    4,535.88x = 15,940,495.98
  5. Step 5: Solve for x
    x = 15,940,495.98/4,535.88
  6. Step 6: Final answer
    x = 3,514.31

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