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Finding the Fourth Proportional to 5,974.88, 8,962.34 and 1,870.88

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Solution

The fourth proportional to 5,974.88, 8,962.34 and 1,870.88 is: 2,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.88 : 8,962.34 = 1,870.88 : x
  2. Step 2: Convert to fraction form
    5,974.88/8,962.34 = 1,870.88/x
  3. Step 3: Cross multiply
    5,974.88x = 8,962.34 × 1,870.88
  4. Step 4: Simplify right side
    5,974.88x = 16,767,408.49
  5. Step 5: Solve for x
    x = 16,767,408.49/5,974.88
  6. Step 6: Final answer
    x = 2,806.32

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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.