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Finding the Fourth Proportional to 4,707, 7,060.50 and 1,244.25

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Solution

The fourth proportional to 4,707, 7,060.50 and 1,244.25 is: 1,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707 : 7,060.50 = 1,244.25 : x
  2. Step 2: Convert to fraction form
    4,707/7,060.50 = 1,244.25/x
  3. Step 3: Cross multiply
    4,707x = 7,060.50 × 1,244.25
  4. Step 4: Simplify right side
    4,707x = 8,785,027.13
  5. Step 5: Solve for x
    x = 8,785,027.13/4,707
  6. Step 6: Final answer
    x = 1,866.38

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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.