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Finding the Fourth Proportional to 3,638.62, 5,456.31 and 1,328.50

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Solution

The fourth proportional to 3,638.62, 5,456.31 and 1,328.50 is: 1,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.62 : 5,456.31 = 1,328.50 : x
  2. Step 2: Convert to fraction form
    3,638.62/5,456.31 = 1,328.50/x
  3. Step 3: Cross multiply
    3,638.62x = 5,456.31 × 1,328.50
  4. Step 4: Simplify right side
    3,638.62x = 7,248,707.84
  5. Step 5: Solve for x
    x = 7,248,707.84/3,638.62
  6. Step 6: Final answer
    x = 1,992.16

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1.5x scale

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.