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Finding the Fourth Proportional to 4,312.67, 6,463.59 and 1,844.59

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Solution

The fourth proportional to 4,312.67, 6,463.59 and 1,844.59 is: 2,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.67 : 6,463.59 = 1,844.59 : x
  2. Step 2: Convert to fraction form
    4,312.67/6,463.59 = 1,844.59/x
  3. Step 3: Cross multiply
    4,312.67x = 6,463.59 × 1,844.59
  4. Step 4: Simplify right side
    4,312.67x = 11,922,641.16
  5. Step 5: Solve for x
    x = 11,922,641.16/4,312.67
  6. Step 6: Final answer
    x = 2,764.56

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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.