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Finding the Fourth Proportional to 5,382.76, 8,071.26 and 2,460.28

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Solution

The fourth proportional to 5,382.76, 8,071.26 and 2,460.28 is: 3,689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.76 : 8,071.26 = 2,460.28 : x
  2. Step 2: Convert to fraction form
    5,382.76/8,071.26 = 2,460.28/x
  3. Step 3: Cross multiply
    5,382.76x = 8,071.26 × 2,460.28
  4. Step 4: Simplify right side
    5,382.76x = 19,857,559.55
  5. Step 5: Solve for x
    x = 19,857,559.55/5,382.76
  6. Step 6: Final answer
    x = 3,689.10

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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.