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Finding the Fourth Proportional to 5,718.59, 7,891.74 and 3,480.56

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Solution

The fourth proportional to 5,718.59, 7,891.74 and 3,480.56 is: 4,803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.59 : 7,891.74 = 3,480.56 : x
  2. Step 2: Convert to fraction form
    5,718.59/7,891.74 = 3,480.56/x
  3. Step 3: Cross multiply
    5,718.59x = 7,891.74 × 3,480.56
  4. Step 4: Simplify right side
    5,718.59x = 27,467,617.71
  5. Step 5: Solve for x
    x = 27,467,617.71/5,718.59
  6. Step 6: Final answer
    x = 4,803.22

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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.