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Finding the Fourth Proportional to 4,732.84, 7,100.34 and 1,446.40

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Solution

The fourth proportional to 4,732.84, 7,100.34 and 1,446.40 is: 2,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.84 : 7,100.34 = 1,446.40 : x
  2. Step 2: Convert to fraction form
    4,732.84/7,100.34 = 1,446.40/x
  3. Step 3: Cross multiply
    4,732.84x = 7,100.34 × 1,446.40
  4. Step 4: Simplify right side
    4,732.84x = 10,269,931.78
  5. Step 5: Solve for x
    x = 10,269,931.78/4,732.84
  6. Step 6: Final answer
    x = 2,169.93

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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.