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Finding the Fourth Proportional to 3,534.68, 4,877.97 and 1,962.90

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Solution

The fourth proportional to 3,534.68, 4,877.97 and 1,962.90 is: 2,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.68 : 4,877.97 = 1,962.90 : x
  2. Step 2: Convert to fraction form
    3,534.68/4,877.97 = 1,962.90/x
  3. Step 3: Cross multiply
    3,534.68x = 4,877.97 × 1,962.90
  4. Step 4: Simplify right side
    3,534.68x = 9,574,967.31
  5. Step 5: Solve for x
    x = 9,574,967.31/3,534.68
  6. Step 6: Final answer
    x = 2,708.86

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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.