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Finding the Fourth Proportional to 3,880.32, 5,817.78 and 1,799.16

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Solution

The fourth proportional to 3,880.32, 5,817.78 and 1,799.16 is: 2,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.32 : 5,817.78 = 1,799.16 : x
  2. Step 2: Convert to fraction form
    3,880.32/5,817.78 = 1,799.16/x
  3. Step 3: Cross multiply
    3,880.32x = 5,817.78 × 1,799.16
  4. Step 4: Simplify right side
    3,880.32x = 10,467,117.06
  5. Step 5: Solve for x
    x = 10,467,117.06/3,880.32
  6. Step 6: Final answer
    x = 2,697.49

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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.