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Finding the Fourth Proportional to 4,145.02, 5,720.20 and 2,256.66

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Solution

The fourth proportional to 4,145.02, 5,720.20 and 2,256.66 is: 3,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.02 : 5,720.20 = 2,256.66 : x
  2. Step 2: Convert to fraction form
    4,145.02/5,720.20 = 2,256.66/x
  3. Step 3: Cross multiply
    4,145.02x = 5,720.20 × 2,256.66
  4. Step 4: Simplify right side
    4,145.02x = 12,908,545.02
  5. Step 5: Solve for x
    x = 12,908,545.02/4,145.02
  6. Step 6: Final answer
    x = 3,114.23

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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.