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Finding the Fourth Proportional to 4,062.39, 6,089.91 and 1,463.50

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Solution

The fourth proportional to 4,062.39, 6,089.91 and 1,463.50 is: 2,193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.39 : 6,089.91 = 1,463.50 : x
  2. Step 2: Convert to fraction form
    4,062.39/6,089.91 = 1,463.50/x
  3. Step 3: Cross multiply
    4,062.39x = 6,089.91 × 1,463.50
  4. Step 4: Simplify right side
    4,062.39x = 8,912,583.29
  5. Step 5: Solve for x
    x = 8,912,583.29/4,062.39
  6. Step 6: Final answer
    x = 2,193.93

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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.