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Finding the Fourth Proportional to 4,583.82, 6,875.74 and 2,634.78

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Solution

The fourth proportional to 4,583.82, 6,875.74 and 2,634.78 is: 3,952.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,583.82 : 6,875.74 = 2,634.78 : x
  2. Step 2: Convert to fraction form
    4,583.82/6,875.74 = 2,634.78/x
  3. Step 3: Cross multiply
    4,583.82x = 6,875.74 × 2,634.78
  4. Step 4: Simplify right side
    4,583.82x = 18,116,062.24
  5. Step 5: Solve for x
    x = 18,116,062.24/4,583.82
  6. Step 6: Final answer
    x = 3,952.18

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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.