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Finding the Fourth Proportional to 4,707.62, 7,060.67 and 1,785.22

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Solution

The fourth proportional to 4,707.62, 7,060.67 and 1,785.22 is: 2,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.62 : 7,060.67 = 1,785.22 : x
  2. Step 2: Convert to fraction form
    4,707.62/7,060.67 = 1,785.22/x
  3. Step 3: Cross multiply
    4,707.62x = 7,060.67 × 1,785.22
  4. Step 4: Simplify right side
    4,707.62x = 12,604,849.30
  5. Step 5: Solve for x
    x = 12,604,849.30/4,707.62
  6. Step 6: Final answer
    x = 2,677.54

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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.