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Finding the Fourth Proportional to 5,797.78, 8,696.70 and 2,465.17

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Solution

The fourth proportional to 5,797.78, 8,696.70 and 2,465.17 is: 3,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.78 : 8,696.70 = 2,465.17 : x
  2. Step 2: Convert to fraction form
    5,797.78/8,696.70 = 2,465.17/x
  3. Step 3: Cross multiply
    5,797.78x = 8,696.70 × 2,465.17
  4. Step 4: Simplify right side
    5,797.78x = 21,438,845.57
  5. Step 5: Solve for x
    x = 21,438,845.57/5,797.78
  6. Step 6: Final answer
    x = 3,697.77

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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.