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Finding the Fourth Proportional to 5,718.76, 7,889.56 and 3,478.84

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Solution

The fourth proportional to 5,718.76, 7,889.56 and 3,478.84 is: 4,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.76 : 7,889.56 = 3,478.84 : x
  2. Step 2: Convert to fraction form
    5,718.76/7,889.56 = 3,478.84/x
  3. Step 3: Cross multiply
    5,718.76x = 7,889.56 × 3,478.84
  4. Step 4: Simplify right side
    5,718.76x = 27,446,488.49
  5. Step 5: Solve for x
    x = 27,446,488.49/5,718.76
  6. Step 6: Final answer
    x = 4,799.38

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1.5x scale

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.