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Finding the Fourth Proportional to 3,562.88, 4,914.56 and 2,165.76

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Solution

The fourth proportional to 3,562.88, 4,914.56 and 2,165.76 is: 2,987.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.88 : 4,914.56 = 2,165.76 : x
  2. Step 2: Convert to fraction form
    3,562.88/4,914.56 = 2,165.76/x
  3. Step 3: Cross multiply
    3,562.88x = 4,914.56 × 2,165.76
  4. Step 4: Simplify right side
    3,562.88x = 10,643,757.47
  5. Step 5: Solve for x
    x = 10,643,757.47/3,562.88
  6. Step 6: Final answer
    x = 2,987.40

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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.