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Finding the Fourth Proportional to 3,828.32, 5,280 and 2,500.64

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Solution

The fourth proportional to 3,828.32, 5,280 and 2,500.64 is: 3,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.32 : 5,280 = 2,500.64 : x
  2. Step 2: Convert to fraction form
    3,828.32/5,280 = 2,500.64/x
  3. Step 3: Cross multiply
    3,828.32x = 5,280 × 2,500.64
  4. Step 4: Simplify right side
    3,828.32x = 13,203,379.20
  5. Step 5: Solve for x
    x = 13,203,379.20/3,828.32
  6. Step 6: Final answer
    x = 3,448.87

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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.