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Finding the Fourth Proportional to 5,314.92, 7,974 and 2,719.68

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Solution

The fourth proportional to 5,314.92, 7,974 and 2,719.68 is: 4,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.92 : 7,974 = 2,719.68 : x
  2. Step 2: Convert to fraction form
    5,314.92/7,974 = 2,719.68/x
  3. Step 3: Cross multiply
    5,314.92x = 7,974 × 2,719.68
  4. Step 4: Simplify right side
    5,314.92x = 21,686,728.32
  5. Step 5: Solve for x
    x = 21,686,728.32/5,314.92
  6. Step 6: Final answer
    x = 4,080.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.