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Finding the Fourth Proportional to 3,693.67, 5,543.07 and 1,502.40

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Solution

The fourth proportional to 3,693.67, 5,543.07 and 1,502.40 is: 2,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.67 : 5,543.07 = 1,502.40 : x
  2. Step 2: Convert to fraction form
    3,693.67/5,543.07 = 1,502.40/x
  3. Step 3: Cross multiply
    3,693.67x = 5,543.07 × 1,502.40
  4. Step 4: Simplify right side
    3,693.67x = 8,327,908.37
  5. Step 5: Solve for x
    x = 8,327,908.37/3,693.67
  6. Step 6: Final answer
    x = 2,254.64

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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.