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Finding the Fourth Proportional to 4,069.64, 5,614.16 and 2,368.15

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Solution

The fourth proportional to 4,069.64, 5,614.16 and 2,368.15 is: 3,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.64 : 5,614.16 = 2,368.15 : x
  2. Step 2: Convert to fraction form
    4,069.64/5,614.16 = 2,368.15/x
  3. Step 3: Cross multiply
    4,069.64x = 5,614.16 × 2,368.15
  4. Step 4: Simplify right side
    4,069.64x = 13,295,150.85
  5. Step 5: Solve for x
    x = 13,295,150.85/4,069.64
  6. Step 6: Final answer
    x = 3,266.91

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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.