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Finding the Fourth Proportional to 5,482.95, 8,225.10 and 1,972.41

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Solution

The fourth proportional to 5,482.95, 8,225.10 and 1,972.41 is: 2,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.95 : 8,225.10 = 1,972.41 : x
  2. Step 2: Convert to fraction form
    5,482.95/8,225.10 = 1,972.41/x
  3. Step 3: Cross multiply
    5,482.95x = 8,225.10 × 1,972.41
  4. Step 4: Simplify right side
    5,482.95x = 16,223,269.49
  5. Step 5: Solve for x
    x = 16,223,269.49/5,482.95
  6. Step 6: Final answer
    x = 2,958.86

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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.