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Finding the Fourth Proportional to 5,078.66, 7,616.62 and 1,791.32

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Solution

The fourth proportional to 5,078.66, 7,616.62 and 1,791.32 is: 2,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.66 : 7,616.62 = 1,791.32 : x
  2. Step 2: Convert to fraction form
    5,078.66/7,616.62 = 1,791.32/x
  3. Step 3: Cross multiply
    5,078.66x = 7,616.62 × 1,791.32
  4. Step 4: Simplify right side
    5,078.66x = 13,643,803.74
  5. Step 5: Solve for x
    x = 13,643,803.74/5,078.66
  6. Step 6: Final answer
    x = 2,686.50

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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.