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Finding the Fourth Proportional to 4,568.99, 6,854.49 and 1,449.95

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Solution

The fourth proportional to 4,568.99, 6,854.49 and 1,449.95 is: 2,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.99 : 6,854.49 = 1,449.95 : x
  2. Step 2: Convert to fraction form
    4,568.99/6,854.49 = 1,449.95/x
  3. Step 3: Cross multiply
    4,568.99x = 6,854.49 × 1,449.95
  4. Step 4: Simplify right side
    4,568.99x = 9,938,667.78
  5. Step 5: Solve for x
    x = 9,938,667.78/4,568.99
  6. Step 6: Final answer
    x = 2,175.24

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Why These Related Problems?

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