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Finding the Fourth Proportional to 3,101.87, 4,624.99 and 3,046.50

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Solution

The fourth proportional to 3,101.87, 4,624.99 and 3,046.50 is: 4,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.87 : 4,624.99 = 3,046.50 : x
  2. Step 2: Convert to fraction form
    3,101.87/4,624.99 = 3,046.50/x
  3. Step 3: Cross multiply
    3,101.87x = 4,624.99 × 3,046.50
  4. Step 4: Simplify right side
    3,101.87x = 14,090,024.42
  5. Step 5: Solve for x
    x = 14,090,024.42/3,101.87
  6. Step 6: Final answer
    x = 4,542.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.