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Finding the Fourth Proportional to 5,478.64, 8,207.54 and 3,252.76

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Solution

The fourth proportional to 5,478.64, 8,207.54 and 3,252.76 is: 4,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.64 : 8,207.54 = 3,252.76 : x
  2. Step 2: Convert to fraction form
    5,478.64/8,207.54 = 3,252.76/x
  3. Step 3: Cross multiply
    5,478.64x = 8,207.54 × 3,252.76
  4. Step 4: Simplify right side
    5,478.64x = 26,697,157.81
  5. Step 5: Solve for x
    x = 26,697,157.81/5,478.64
  6. Step 6: Final answer
    x = 4,872.95

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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.