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Finding the Fourth Proportional to 3,612.64, 5,424.15 and 2,228.70

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Solution

The fourth proportional to 3,612.64, 5,424.15 and 2,228.70 is: 3,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.64 : 5,424.15 = 2,228.70 : x
  2. Step 2: Convert to fraction form
    3,612.64/5,424.15 = 2,228.70/x
  3. Step 3: Cross multiply
    3,612.64x = 5,424.15 × 2,228.70
  4. Step 4: Simplify right side
    3,612.64x = 12,088,803.11
  5. Step 5: Solve for x
    x = 12,088,803.11/3,612.64
  6. Step 6: Final answer
    x = 3,346.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.