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Finding the Fourth Proportional to 5,882.78, 8,117.93 and 3,364.62

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Solution

The fourth proportional to 5,882.78, 8,117.93 and 3,364.62 is: 4,643.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.78 : 8,117.93 = 3,364.62 : x
  2. Step 2: Convert to fraction form
    5,882.78/8,117.93 = 3,364.62/x
  3. Step 3: Cross multiply
    5,882.78x = 8,117.93 × 3,364.62
  4. Step 4: Simplify right side
    5,882.78x = 27,313,732.81
  5. Step 5: Solve for x
    x = 27,313,732.81/5,882.78
  6. Step 6: Final answer
    x = 4,643.00

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