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Finding the Fourth Proportional to 5,806.98, 8,710.92 and 3,482.82

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Solution

The fourth proportional to 5,806.98, 8,710.92 and 3,482.82 is: 5,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.98 : 8,710.92 = 3,482.82 : x
  2. Step 2: Convert to fraction form
    5,806.98/8,710.92 = 3,482.82/x
  3. Step 3: Cross multiply
    5,806.98x = 8,710.92 × 3,482.82
  4. Step 4: Simplify right side
    5,806.98x = 30,338,566.39
  5. Step 5: Solve for x
    x = 30,338,566.39/5,806.98
  6. Step 6: Final answer
    x = 5,224.50

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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.