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Finding the Fourth Proportional to 3,661.84, 5,053.08 and 2,089.68

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Solution

The fourth proportional to 3,661.84, 5,053.08 and 2,089.68 is: 2,883.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.84 : 5,053.08 = 2,089.68 : x
  2. Step 2: Convert to fraction form
    3,661.84/5,053.08 = 2,089.68/x
  3. Step 3: Cross multiply
    3,661.84x = 5,053.08 × 2,089.68
  4. Step 4: Simplify right side
    3,661.84x = 10,559,320.21
  5. Step 5: Solve for x
    x = 10,559,320.21/3,661.84
  6. Step 6: Final answer
    x = 2,883.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.