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Finding the Fourth Proportional to 4,972.29, 7,458.04 and 2,199.05

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Solution

The fourth proportional to 4,972.29, 7,458.04 and 2,199.05 is: 3,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.29 : 7,458.04 = 2,199.05 : x
  2. Step 2: Convert to fraction form
    4,972.29/7,458.04 = 2,199.05/x
  3. Step 3: Cross multiply
    4,972.29x = 7,458.04 × 2,199.05
  4. Step 4: Simplify right side
    4,972.29x = 16,400,591.87
  5. Step 5: Solve for x
    x = 16,400,591.87/4,972.29
  6. Step 6: Final answer
    x = 3,298.40

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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.