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Finding the Fourth Proportional to 4,206.79, 5,763.33 and 4,049.15

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Solution

The fourth proportional to 4,206.79, 5,763.33 and 4,049.15 is: 5,547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.79 : 5,763.33 = 4,049.15 : x
  2. Step 2: Convert to fraction form
    4,206.79/5,763.33 = 4,049.15/x
  3. Step 3: Cross multiply
    4,206.79x = 5,763.33 × 4,049.15
  4. Step 4: Simplify right side
    4,206.79x = 23,336,587.67
  5. Step 5: Solve for x
    x = 23,336,587.67/4,206.79
  6. Step 6: Final answer
    x = 5,547.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.