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Finding the Fourth Proportional to 3,870.92, 5,341.20 and 2,298.44

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Solution

The fourth proportional to 3,870.92, 5,341.20 and 2,298.44 is: 3,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.92 : 5,341.20 = 2,298.44 : x
  2. Step 2: Convert to fraction form
    3,870.92/5,341.20 = 2,298.44/x
  3. Step 3: Cross multiply
    3,870.92x = 5,341.20 × 2,298.44
  4. Step 4: Simplify right side
    3,870.92x = 12,276,427.73
  5. Step 5: Solve for x
    x = 12,276,427.73/3,870.92
  6. Step 6: Final answer
    x = 3,171.45

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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.