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Finding the Fourth Proportional to 4,535.76, 6,259.16 and 2,546.48

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Solution

The fourth proportional to 4,535.76, 6,259.16 and 2,546.48 is: 3,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.76 : 6,259.16 = 2,546.48 : x
  2. Step 2: Convert to fraction form
    4,535.76/6,259.16 = 2,546.48/x
  3. Step 3: Cross multiply
    4,535.76x = 6,259.16 × 2,546.48
  4. Step 4: Simplify right side
    4,535.76x = 15,938,825.76
  5. Step 5: Solve for x
    x = 15,938,825.76/4,535.76
  6. Step 6: Final answer
    x = 3,514.04

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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.