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Finding the Fourth Proportional to 5,845.93, 8,768.88 and 1,463.38

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Solution

The fourth proportional to 5,845.93, 8,768.88 and 1,463.38 is: 2,195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.93 : 8,768.88 = 1,463.38 : x
  2. Step 2: Convert to fraction form
    5,845.93/8,768.88 = 1,463.38/x
  3. Step 3: Cross multiply
    5,845.93x = 8,768.88 × 1,463.38
  4. Step 4: Simplify right side
    5,845.93x = 12,832,159.77
  5. Step 5: Solve for x
    x = 12,832,159.77/5,845.93
  6. Step 6: Final answer
    x = 2,195.06

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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.