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Finding the Fourth Proportional to 4,145, 5,716.62 and 2,572.04

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Solution

The fourth proportional to 4,145, 5,716.62 and 2,572.04 is: 3,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145 : 5,716.62 = 2,572.04 : x
  2. Step 2: Convert to fraction form
    4,145/5,716.62 = 2,572.04/x
  3. Step 3: Cross multiply
    4,145x = 5,716.62 × 2,572.04
  4. Step 4: Simplify right side
    4,145x = 14,703,375.30
  5. Step 5: Solve for x
    x = 14,703,375.30/4,145
  6. Step 6: Final answer
    x = 3,547.26

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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.