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Finding the Fourth Proportional to 5,300.57, 7,314.87 and 2,942.74

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Solution

The fourth proportional to 5,300.57, 7,314.87 and 2,942.74 is: 4,061.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.57 : 7,314.87 = 2,942.74 : x
  2. Step 2: Convert to fraction form
    5,300.57/7,314.87 = 2,942.74/x
  3. Step 3: Cross multiply
    5,300.57x = 7,314.87 × 2,942.74
  4. Step 4: Simplify right side
    5,300.57x = 21,525,753.29
  5. Step 5: Solve for x
    x = 21,525,753.29/5,300.57
  6. Step 6: Final answer
    x = 4,061.02

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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.