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Finding the Fourth Proportional to 4,145.29, 5,720.32 and 2,256.88

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Solution

The fourth proportional to 4,145.29, 5,720.32 and 2,256.88 is: 3,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.29 : 5,720.32 = 2,256.88 : x
  2. Step 2: Convert to fraction form
    4,145.29/5,720.32 = 2,256.88/x
  3. Step 3: Cross multiply
    4,145.29x = 5,720.32 × 2,256.88
  4. Step 4: Simplify right side
    4,145.29x = 12,910,075.80
  5. Step 5: Solve for x
    x = 12,910,075.80/4,145.29
  6. Step 6: Final answer
    x = 3,114.40

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Why These Related Problems?

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