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Finding the Fourth Proportional to 3,584.82, 5,376.75 and 987.30

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Solution

The fourth proportional to 3,584.82, 5,376.75 and 987.30 is: 1,480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.82 : 5,376.75 = 987.30 : x
  2. Step 2: Convert to fraction form
    3,584.82/5,376.75 = 987.30/x
  3. Step 3: Cross multiply
    3,584.82x = 5,376.75 × 987.30
  4. Step 4: Simplify right side
    3,584.82x = 5,308,465.28
  5. Step 5: Solve for x
    x = 5,308,465.28/3,584.82
  6. Step 6: Final answer
    x = 1,480.82

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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.