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Finding the Fourth Proportional to 3,086.70, 4,258.18 and 1,826.92

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Solution

The fourth proportional to 3,086.70, 4,258.18 and 1,826.92 is: 2,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.70 : 4,258.18 = 1,826.92 : x
  2. Step 2: Convert to fraction form
    3,086.70/4,258.18 = 1,826.92/x
  3. Step 3: Cross multiply
    3,086.70x = 4,258.18 × 1,826.92
  4. Step 4: Simplify right side
    3,086.70x = 7,779,354.21
  5. Step 5: Solve for x
    x = 7,779,354.21/3,086.70
  6. Step 6: Final answer
    x = 2,520.28

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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.