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Finding the Fourth Proportional to 3,543.16, 5,310.11 and 1,460.78

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Solution

The fourth proportional to 3,543.16, 5,310.11 and 1,460.78 is: 2,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.16 : 5,310.11 = 1,460.78 : x
  2. Step 2: Convert to fraction form
    3,543.16/5,310.11 = 1,460.78/x
  3. Step 3: Cross multiply
    3,543.16x = 5,310.11 × 1,460.78
  4. Step 4: Simplify right side
    3,543.16x = 7,756,895.18
  5. Step 5: Solve for x
    x = 7,756,895.18/3,543.16
  6. Step 6: Final answer
    x = 2,189.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.