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Finding the Fourth Proportional to 4,606.88, 6,910.29 and 1,319.96

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Solution

The fourth proportional to 4,606.88, 6,910.29 and 1,319.96 is: 1,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.88 : 6,910.29 = 1,319.96 : x
  2. Step 2: Convert to fraction form
    4,606.88/6,910.29 = 1,319.96/x
  3. Step 3: Cross multiply
    4,606.88x = 6,910.29 × 1,319.96
  4. Step 4: Simplify right side
    4,606.88x = 9,121,323.66
  5. Step 5: Solve for x
    x = 9,121,323.66/4,606.88
  6. Step 6: Final answer
    x = 1,979.94

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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.