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Finding the Fourth Proportional to 4,569.68, 6,849 and 2,101.11

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Solution

The fourth proportional to 4,569.68, 6,849 and 2,101.11 is: 3,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.68 : 6,849 = 2,101.11 : x
  2. Step 2: Convert to fraction form
    4,569.68/6,849 = 2,101.11/x
  3. Step 3: Cross multiply
    4,569.68x = 6,849 × 2,101.11
  4. Step 4: Simplify right side
    4,569.68x = 14,390,502.39
  5. Step 5: Solve for x
    x = 14,390,502.39/4,569.68
  6. Step 6: Final answer
    x = 3,149.13

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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.