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Finding the Fourth Proportional to 5,277.61, 7,282.80 and 2,919.61

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Solution

The fourth proportional to 5,277.61, 7,282.80 and 2,919.61 is: 4,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.61 : 7,282.80 = 2,919.61 : x
  2. Step 2: Convert to fraction form
    5,277.61/7,282.80 = 2,919.61/x
  3. Step 3: Cross multiply
    5,277.61x = 7,282.80 × 2,919.61
  4. Step 4: Simplify right side
    5,277.61x = 21,262,935.71
  5. Step 5: Solve for x
    x = 21,262,935.71/5,277.61
  6. Step 6: Final answer
    x = 4,028.89

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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.