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Finding the Fourth Proportional to 3,662.84, 5,497.90 and 2,020.16

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Solution

The fourth proportional to 3,662.84, 5,497.90 and 2,020.16 is: 3,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.84 : 5,497.90 = 2,020.16 : x
  2. Step 2: Convert to fraction form
    3,662.84/5,497.90 = 2,020.16/x
  3. Step 3: Cross multiply
    3,662.84x = 5,497.90 × 2,020.16
  4. Step 4: Simplify right side
    3,662.84x = 11,106,637.66
  5. Step 5: Solve for x
    x = 11,106,637.66/3,662.84
  6. Step 6: Final answer
    x = 3,032.25

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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.