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Finding the Fourth Proportional to 3,774.17, 5,656.80 and 2,132.30

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Solution

The fourth proportional to 3,774.17, 5,656.80 and 2,132.30 is: 3,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.17 : 5,656.80 = 2,132.30 : x
  2. Step 2: Convert to fraction form
    3,774.17/5,656.80 = 2,132.30/x
  3. Step 3: Cross multiply
    3,774.17x = 5,656.80 × 2,132.30
  4. Step 4: Simplify right side
    3,774.17x = 12,061,994.64
  5. Step 5: Solve for x
    x = 12,061,994.64/3,774.17
  6. Step 6: Final answer
    x = 3,195.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.