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Finding the Fourth Proportional to 4,841.84, 7,262.76 and 1,379

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Solution

The fourth proportional to 4,841.84, 7,262.76 and 1,379 is: 2,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.84 : 7,262.76 = 1,379 : x
  2. Step 2: Convert to fraction form
    4,841.84/7,262.76 = 1,379/x
  3. Step 3: Cross multiply
    4,841.84x = 7,262.76 × 1,379
  4. Step 4: Simplify right side
    4,841.84x = 10,015,346.04
  5. Step 5: Solve for x
    x = 10,015,346.04/4,841.84
  6. Step 6: Final answer
    x = 2,068.50

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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.