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Finding the Fourth Proportional to 5,235.57, 7,224.80 and 2,877.80

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Solution

The fourth proportional to 5,235.57, 7,224.80 and 2,877.80 is: 3,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.57 : 7,224.80 = 2,877.80 : x
  2. Step 2: Convert to fraction form
    5,235.57/7,224.80 = 2,877.80/x
  3. Step 3: Cross multiply
    5,235.57x = 7,224.80 × 2,877.80
  4. Step 4: Simplify right side
    5,235.57x = 20,791,478.93
  5. Step 5: Solve for x
    x = 20,791,478.93/5,235.57
  6. Step 6: Final answer
    x = 3,971.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.