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Finding the Fourth Proportional to 3,306.84, 4,956.47 and 1,356.63

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Solution

The fourth proportional to 3,306.84, 4,956.47 and 1,356.63 is: 2,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.84 : 4,956.47 = 1,356.63 : x
  2. Step 2: Convert to fraction form
    3,306.84/4,956.47 = 1,356.63/x
  3. Step 3: Cross multiply
    3,306.84x = 4,956.47 × 1,356.63
  4. Step 4: Simplify right side
    3,306.84x = 6,724,095.90
  5. Step 5: Solve for x
    x = 6,724,095.90/3,306.84
  6. Step 6: Final answer
    x = 2,033.39

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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.