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Finding the Fourth Proportional to 5,264.32, 7,264.56 and 3,275.20

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Solution

The fourth proportional to 5,264.32, 7,264.56 and 3,275.20 is: 4,519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.32 : 7,264.56 = 3,275.20 : x
  2. Step 2: Convert to fraction form
    5,264.32/7,264.56 = 3,275.20/x
  3. Step 3: Cross multiply
    5,264.32x = 7,264.56 × 3,275.20
  4. Step 4: Simplify right side
    5,264.32x = 23,792,886.91
  5. Step 5: Solve for x
    x = 23,792,886.91/5,264.32
  6. Step 6: Final answer
    x = 4,519.65

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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.