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Finding the Fourth Proportional to 7,087.84, 9,780.80 and 3,900.59

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Solution

The fourth proportional to 7,087.84, 9,780.80 and 3,900.59 is: 5,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.84 : 9,780.80 = 3,900.59 : x
  2. Step 2: Convert to fraction form
    7,087.84/9,780.80 = 3,900.59/x
  3. Step 3: Cross multiply
    7,087.84x = 9,780.80 × 3,900.59
  4. Step 4: Simplify right side
    7,087.84x = 38,150,890.67
  5. Step 5: Solve for x
    x = 38,150,890.67/7,087.84
  6. Step 6: Final answer
    x = 5,382.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.