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Finding the Fourth Proportional to 3,184.74, 4,773.15 and 2,856.42

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Solution

The fourth proportional to 3,184.74, 4,773.15 and 2,856.42 is: 4,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.74 : 4,773.15 = 2,856.42 : x
  2. Step 2: Convert to fraction form
    3,184.74/4,773.15 = 2,856.42/x
  3. Step 3: Cross multiply
    3,184.74x = 4,773.15 × 2,856.42
  4. Step 4: Simplify right side
    3,184.74x = 13,634,121.12
  5. Step 5: Solve for x
    x = 13,634,121.12/3,184.74
  6. Step 6: Final answer
    x = 4,281.08

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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.