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Finding the Fourth Proportional to 4,616.87, 6,926.36 and 2,535.86

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Solution

The fourth proportional to 4,616.87, 6,926.36 and 2,535.86 is: 3,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.87 : 6,926.36 = 2,535.86 : x
  2. Step 2: Convert to fraction form
    4,616.87/6,926.36 = 2,535.86/x
  3. Step 3: Cross multiply
    4,616.87x = 6,926.36 × 2,535.86
  4. Step 4: Simplify right side
    4,616.87x = 17,564,283.91
  5. Step 5: Solve for x
    x = 17,564,283.91/4,616.87
  6. Step 6: Final answer
    x = 3,804.37

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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.