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Finding the Fourth Proportional to 5,870.87, 8,806.34 and 1,975.22

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Solution

The fourth proportional to 5,870.87, 8,806.34 and 1,975.22 is: 2,962.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.87 : 8,806.34 = 1,975.22 : x
  2. Step 2: Convert to fraction form
    5,870.87/8,806.34 = 1,975.22/x
  3. Step 3: Cross multiply
    5,870.87x = 8,806.34 × 1,975.22
  4. Step 4: Simplify right side
    5,870.87x = 17,394,419.80
  5. Step 5: Solve for x
    x = 17,394,419.80/5,870.87
  6. Step 6: Final answer
    x = 2,962.84

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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.