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Finding the Fourth Proportional to 3,661.84, 5,050 and 3,132.72

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Solution

The fourth proportional to 3,661.84, 5,050 and 3,132.72 is: 4,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.84 : 5,050 = 3,132.72 : x
  2. Step 2: Convert to fraction form
    3,661.84/5,050 = 3,132.72/x
  3. Step 3: Cross multiply
    3,661.84x = 5,050 × 3,132.72
  4. Step 4: Simplify right side
    3,661.84x = 15,820,236.00
  5. Step 5: Solve for x
    x = 15,820,236.00/3,661.84
  6. Step 6: Final answer
    x = 4,320.30

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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.