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Finding the Fourth Proportional to 4,660.41, 6,993 and 3,101.52

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Solution

The fourth proportional to 4,660.41, 6,993 and 3,101.52 is: 4,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.41 : 6,993 = 3,101.52 : x
  2. Step 2: Convert to fraction form
    4,660.41/6,993 = 3,101.52/x
  3. Step 3: Cross multiply
    4,660.41x = 6,993 × 3,101.52
  4. Step 4: Simplify right side
    4,660.41x = 21,688,929.36
  5. Step 5: Solve for x
    x = 21,688,929.36/4,660.41
  6. Step 6: Final answer
    x = 4,653.87

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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.