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Finding the Fourth Proportional to 4,081.52, 5,632.52 and 2,403

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Solution

The fourth proportional to 4,081.52, 5,632.52 and 2,403 is: 3,316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081.52 : 5,632.52 = 2,403 : x
  2. Step 2: Convert to fraction form
    4,081.52/5,632.52 = 2,403/x
  3. Step 3: Cross multiply
    4,081.52x = 5,632.52 × 2,403
  4. Step 4: Simplify right side
    4,081.52x = 13,534,945.56
  5. Step 5: Solve for x
    x = 13,534,945.56/4,081.52
  6. Step 6: Final answer
    x = 3,316.15

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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.