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Finding the Fourth Proportional to 5,117.36, 7,061.38 and 2,880

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Solution

The fourth proportional to 5,117.36, 7,061.38 and 2,880 is: 3,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.36 : 7,061.38 = 2,880 : x
  2. Step 2: Convert to fraction form
    5,117.36/7,061.38 = 2,880/x
  3. Step 3: Cross multiply
    5,117.36x = 7,061.38 × 2,880
  4. Step 4: Simplify right side
    5,117.36x = 20,336,767.20
  5. Step 5: Solve for x
    x = 20,336,767.20/5,117.36
  6. Step 6: Final answer
    x = 3,974.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.