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Finding the Fourth Proportional to 3,534.28, 4,877.22 and 1,962.40

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Solution

The fourth proportional to 3,534.28, 4,877.22 and 1,962.40 is: 2,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.28 : 4,877.22 = 1,962.40 : x
  2. Step 2: Convert to fraction form
    3,534.28/4,877.22 = 1,962.40/x
  3. Step 3: Cross multiply
    3,534.28x = 4,877.22 × 1,962.40
  4. Step 4: Simplify right side
    3,534.28x = 9,571,056.53
  5. Step 5: Solve for x
    x = 9,571,056.53/3,534.28
  6. Step 6: Final answer
    x = 2,708.06

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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.