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Finding the Fourth Proportional to 4,264.50, 5,884.61 and 2,375.76

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Solution

The fourth proportional to 4,264.50, 5,884.61 and 2,375.76 is: 3,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.50 : 5,884.61 = 2,375.76 : x
  2. Step 2: Convert to fraction form
    4,264.50/5,884.61 = 2,375.76/x
  3. Step 3: Cross multiply
    4,264.50x = 5,884.61 × 2,375.76
  4. Step 4: Simplify right side
    4,264.50x = 13,980,409.17
  5. Step 5: Solve for x
    x = 13,980,409.17/4,264.50
  6. Step 6: Final answer
    x = 3,278.32

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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.