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Finding the Fourth Proportional to 4,766.98, 7,152.43 and 2,097.20

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Solution

The fourth proportional to 4,766.98, 7,152.43 and 2,097.20 is: 3,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.98 : 7,152.43 = 2,097.20 : x
  2. Step 2: Convert to fraction form
    4,766.98/7,152.43 = 2,097.20/x
  3. Step 3: Cross multiply
    4,766.98x = 7,152.43 × 2,097.20
  4. Step 4: Simplify right side
    4,766.98x = 15,000,043.06
  5. Step 5: Solve for x
    x = 15,000,043.06/4,766.98
  6. Step 6: Final answer
    x = 3,146.66

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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.