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Finding the Fourth Proportional to 3,463.16, 5,195.46 and 1,154.84

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Solution

The fourth proportional to 3,463.16, 5,195.46 and 1,154.84 is: 1,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.16 : 5,195.46 = 1,154.84 : x
  2. Step 2: Convert to fraction form
    3,463.16/5,195.46 = 1,154.84/x
  3. Step 3: Cross multiply
    3,463.16x = 5,195.46 × 1,154.84
  4. Step 4: Simplify right side
    3,463.16x = 5,999,925.03
  5. Step 5: Solve for x
    x = 5,999,925.03/3,463.16
  6. Step 6: Final answer
    x = 1,732.50

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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.