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Finding the Fourth Proportional to 5,382.74, 7,428.42 and 2,992.76

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Solution

The fourth proportional to 5,382.74, 7,428.42 and 2,992.76 is: 4,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.74 : 7,428.42 = 2,992.76 : x
  2. Step 2: Convert to fraction form
    5,382.74/7,428.42 = 2,992.76/x
  3. Step 3: Cross multiply
    5,382.74x = 7,428.42 × 2,992.76
  4. Step 4: Simplify right side
    5,382.74x = 22,231,478.24
  5. Step 5: Solve for x
    x = 22,231,478.24/5,382.74
  6. Step 6: Final answer
    x = 4,130.14

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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.