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Finding the Fourth Proportional to 3,532.84, 4,877.76 and 2,207.20

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Solution

The fourth proportional to 3,532.84, 4,877.76 and 2,207.20 is: 3,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.84 : 4,877.76 = 2,207.20 : x
  2. Step 2: Convert to fraction form
    3,532.84/4,877.76 = 2,207.20/x
  3. Step 3: Cross multiply
    3,532.84x = 4,877.76 × 2,207.20
  4. Step 4: Simplify right side
    3,532.84x = 10,766,191.87
  5. Step 5: Solve for x
    x = 10,766,191.87/3,532.84
  6. Step 6: Final answer
    x = 3,047.46

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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.