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Finding the Fourth Proportional to 4,663.64, 6,991.14 and 1,739.72

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Solution

The fourth proportional to 4,663.64, 6,991.14 and 1,739.72 is: 2,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.64 : 6,991.14 = 1,739.72 : x
  2. Step 2: Convert to fraction form
    4,663.64/6,991.14 = 1,739.72/x
  3. Step 3: Cross multiply
    4,663.64x = 6,991.14 × 1,739.72
  4. Step 4: Simplify right side
    4,663.64x = 12,162,626.08
  5. Step 5: Solve for x
    x = 12,162,626.08/4,663.64
  6. Step 6: Final answer
    x = 2,607.97

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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.