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Finding the Fourth Proportional to 4,821.57, 7,233 and 1,700.85

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Solution

The fourth proportional to 4,821.57, 7,233 and 1,700.85 is: 2,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.57 : 7,233 = 1,700.85 : x
  2. Step 2: Convert to fraction form
    4,821.57/7,233 = 1,700.85/x
  3. Step 3: Cross multiply
    4,821.57x = 7,233 × 1,700.85
  4. Step 4: Simplify right side
    4,821.57x = 12,302,248.05
  5. Step 5: Solve for x
    x = 12,302,248.05/4,821.57
  6. Step 6: Final answer
    x = 2,551.50

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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.