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Finding the Fourth Proportional to 5,224.32, 7,826.04 and 3,369

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Solution

The fourth proportional to 5,224.32, 7,826.04 and 3,369 is: 5,046.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.32 : 7,826.04 = 3,369 : x
  2. Step 2: Convert to fraction form
    5,224.32/7,826.04 = 3,369/x
  3. Step 3: Cross multiply
    5,224.32x = 7,826.04 × 3,369
  4. Step 4: Simplify right side
    5,224.32x = 26,365,928.76
  5. Step 5: Solve for x
    x = 26,365,928.76/5,224.32
  6. Step 6: Final answer
    x = 5,046.77

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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.