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Finding the Fourth Proportional to 3,386.74, 5,079.60 and 921.75

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Solution

The fourth proportional to 3,386.74, 5,079.60 and 921.75 is: 1,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.74 : 5,079.60 = 921.75 : x
  2. Step 2: Convert to fraction form
    3,386.74/5,079.60 = 921.75/x
  3. Step 3: Cross multiply
    3,386.74x = 5,079.60 × 921.75
  4. Step 4: Simplify right side
    3,386.74x = 4,682,143.81
  5. Step 5: Solve for x
    x = 4,682,143.81/3,386.74
  6. Step 6: Final answer
    x = 1,382.49

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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.