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Finding the Fourth Proportional to 5,233.60, 7,837.44 and 2,920.24

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Solution

The fourth proportional to 5,233.60, 7,837.44 and 2,920.24 is: 4,373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.60 : 7,837.44 = 2,920.24 : x
  2. Step 2: Convert to fraction form
    5,233.60/7,837.44 = 2,920.24/x
  3. Step 3: Cross multiply
    5,233.60x = 7,837.44 × 2,920.24
  4. Step 4: Simplify right side
    5,233.60x = 22,887,205.79
  5. Step 5: Solve for x
    x = 22,887,205.79/5,233.60
  6. Step 6: Final answer
    x = 4,373.13

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