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Finding the Fourth Proportional to 4,700.57, 7,046.29 and 2,234.72

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Solution

The fourth proportional to 4,700.57, 7,046.29 and 2,234.72 is: 3,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.57 : 7,046.29 = 2,234.72 : x
  2. Step 2: Convert to fraction form
    4,700.57/7,046.29 = 2,234.72/x
  3. Step 3: Cross multiply
    4,700.57x = 7,046.29 × 2,234.72
  4. Step 4: Simplify right side
    4,700.57x = 15,746,505.60
  5. Step 5: Solve for x
    x = 15,746,505.60/4,700.57
  6. Step 6: Final answer
    x = 3,349.92

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1.5x scale

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.