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Finding the Fourth Proportional to 4,646.48, 6,972.44 and 1,726.84

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Solution

The fourth proportional to 4,646.48, 6,972.44 and 1,726.84 is: 2,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.48 : 6,972.44 = 1,726.84 : x
  2. Step 2: Convert to fraction form
    4,646.48/6,972.44 = 1,726.84/x
  3. Step 3: Cross multiply
    4,646.48x = 6,972.44 × 1,726.84
  4. Step 4: Simplify right side
    4,646.48x = 12,040,288.29
  5. Step 5: Solve for x
    x = 12,040,288.29/4,646.48
  6. Step 6: Final answer
    x = 2,591.27

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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.