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Finding the Fourth Proportional to 4,207.17, 5,763.86 and 4,049.53

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Solution

The fourth proportional to 4,207.17, 5,763.86 and 4,049.53 is: 5,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.17 : 5,763.86 = 4,049.53 : x
  2. Step 2: Convert to fraction form
    4,207.17/5,763.86 = 4,049.53/x
  3. Step 3: Cross multiply
    4,207.17x = 5,763.86 × 4,049.53
  4. Step 4: Simplify right side
    4,207.17x = 23,340,923.99
  5. Step 5: Solve for x
    x = 23,340,923.99/4,207.17
  6. Step 6: Final answer
    x = 5,547.89

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