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Finding the Fourth Proportional to 3,681.84, 5,522.76 and 908.52

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Solution

The fourth proportional to 3,681.84, 5,522.76 and 908.52 is: 1,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.84 : 5,522.76 = 908.52 : x
  2. Step 2: Convert to fraction form
    3,681.84/5,522.76 = 908.52/x
  3. Step 3: Cross multiply
    3,681.84x = 5,522.76 × 908.52
  4. Step 4: Simplify right side
    3,681.84x = 5,017,537.92
  5. Step 5: Solve for x
    x = 5,017,537.92/3,681.84
  6. Step 6: Final answer
    x = 1,362.78

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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.