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Finding the Fourth Proportional to 5,223.02, 7,207.70 and 2,865.14

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Solution

The fourth proportional to 5,223.02, 7,207.70 and 2,865.14 is: 3,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.02 : 7,207.70 = 2,865.14 : x
  2. Step 2: Convert to fraction form
    5,223.02/7,207.70 = 2,865.14/x
  3. Step 3: Cross multiply
    5,223.02x = 7,207.70 × 2,865.14
  4. Step 4: Simplify right side
    5,223.02x = 20,651,069.58
  5. Step 5: Solve for x
    x = 20,651,069.58/5,223.02
  6. Step 6: Final answer
    x = 3,953.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.