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Finding the Fourth Proportional to 3,502.54, 5,256.08 and 1,311.25

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Solution

The fourth proportional to 3,502.54, 5,256.08 and 1,311.25 is: 1,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.54 : 5,256.08 = 1,311.25 : x
  2. Step 2: Convert to fraction form
    3,502.54/5,256.08 = 1,311.25/x
  3. Step 3: Cross multiply
    3,502.54x = 5,256.08 × 1,311.25
  4. Step 4: Simplify right side
    3,502.54x = 6,892,025.04
  5. Step 5: Solve for x
    x = 6,892,025.04/3,502.54
  6. Step 6: Final answer
    x = 1,967.72

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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.