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Finding the Fourth Proportional to 4,535.92, 6,259.68 and 2,546.63

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Solution

The fourth proportional to 4,535.92, 6,259.68 and 2,546.63 is: 3,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.92 : 6,259.68 = 2,546.63 : x
  2. Step 2: Convert to fraction form
    4,535.92/6,259.68 = 2,546.63/x
  3. Step 3: Cross multiply
    4,535.92x = 6,259.68 × 2,546.63
  4. Step 4: Simplify right side
    4,535.92x = 15,941,088.88
  5. Step 5: Solve for x
    x = 15,941,088.88/4,535.92
  6. Step 6: Final answer
    x = 3,514.41

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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.