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Finding the Fourth Proportional to 4,569.12, 6,854.03 and 1,449.03

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Solution

The fourth proportional to 4,569.12, 6,854.03 and 1,449.03 is: 2,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.12 : 6,854.03 = 1,449.03 : x
  2. Step 2: Convert to fraction form
    4,569.12/6,854.03 = 1,449.03/x
  3. Step 3: Cross multiply
    4,569.12x = 6,854.03 × 1,449.03
  4. Step 4: Simplify right side
    4,569.12x = 9,931,698.71
  5. Step 5: Solve for x
    x = 9,931,698.71/4,569.12
  6. Step 6: Final answer
    x = 2,173.66

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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.