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Finding the Fourth Proportional to 3,322.76, 4,582.78 and 3,099.20

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Solution

The fourth proportional to 3,322.76, 4,582.78 and 3,099.20 is: 4,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.76 : 4,582.78 = 3,099.20 : x
  2. Step 2: Convert to fraction form
    3,322.76/4,582.78 = 3,099.20/x
  3. Step 3: Cross multiply
    3,322.76x = 4,582.78 × 3,099.20
  4. Step 4: Simplify right side
    3,322.76x = 14,202,921.11
  5. Step 5: Solve for x
    x = 14,202,921.11/3,322.76
  6. Step 6: Final answer
    x = 4,274.44

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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.