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Finding the Fourth Proportional to 3,543.53, 5,315.93 and 1,462.40

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Solution

The fourth proportional to 3,543.53, 5,315.93 and 1,462.40 is: 2,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.53 : 5,315.93 = 1,462.40 : x
  2. Step 2: Convert to fraction form
    3,543.53/5,315.93 = 1,462.40/x
  3. Step 3: Cross multiply
    3,543.53x = 5,315.93 × 1,462.40
  4. Step 4: Simplify right side
    3,543.53x = 7,773,998.78
  5. Step 5: Solve for x
    x = 7,773,998.78/3,543.53
  6. Step 6: Final answer
    x = 2,193.86

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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.