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Finding the Fourth Proportional to 5,719.61, 7,894.01 and 3,482.34

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Solution

The fourth proportional to 5,719.61, 7,894.01 and 3,482.34 is: 4,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.61 : 7,894.01 = 3,482.34 : x
  2. Step 2: Convert to fraction form
    5,719.61/7,894.01 = 3,482.34/x
  3. Step 3: Cross multiply
    5,719.61x = 7,894.01 × 3,482.34
  4. Step 4: Simplify right side
    5,719.61x = 27,489,630.70
  5. Step 5: Solve for x
    x = 27,489,630.70/5,719.61
  6. Step 6: Final answer
    x = 4,806.21

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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.