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Finding the Fourth Proportional to 3,063.64, 4,224 and 2,534.72

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Solution

The fourth proportional to 3,063.64, 4,224 and 2,534.72 is: 3,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.64 : 4,224 = 2,534.72 : x
  2. Step 2: Convert to fraction form
    3,063.64/4,224 = 2,534.72/x
  3. Step 3: Cross multiply
    3,063.64x = 4,224 × 2,534.72
  4. Step 4: Simplify right side
    3,063.64x = 10,706,657.28
  5. Step 5: Solve for x
    x = 10,706,657.28/3,063.64
  6. Step 6: Final answer
    x = 3,494.75

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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.