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Finding the Fourth Proportional to 3,473.95, 4,789.11 and 2,146.90

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Solution

The fourth proportional to 3,473.95, 4,789.11 and 2,146.90 is: 2,959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.95 : 4,789.11 = 2,146.90 : x
  2. Step 2: Convert to fraction form
    3,473.95/4,789.11 = 2,146.90/x
  3. Step 3: Cross multiply
    3,473.95x = 4,789.11 × 2,146.90
  4. Step 4: Simplify right side
    3,473.95x = 10,281,740.26
  5. Step 5: Solve for x
    x = 10,281,740.26/3,473.95
  6. Step 6: Final answer
    x = 2,959.67

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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.