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Finding the Fourth Proportional to 4,265.64, 6,389.20 and 2,069.75

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Solution

The fourth proportional to 4,265.64, 6,389.20 and 2,069.75 is: 3,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265.64 : 6,389.20 = 2,069.75 : x
  2. Step 2: Convert to fraction form
    4,265.64/6,389.20 = 2,069.75/x
  3. Step 3: Cross multiply
    4,265.64x = 6,389.20 × 2,069.75
  4. Step 4: Simplify right side
    4,265.64x = 13,224,046.70
  5. Step 5: Solve for x
    x = 13,224,046.70/4,265.64
  6. Step 6: Final answer
    x = 3,100.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.