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Finding the Fourth Proportional to 3,880.32, 5,822.02 and 1,415.30

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Solution

The fourth proportional to 3,880.32, 5,822.02 and 1,415.30 is: 2,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.32 : 5,822.02 = 1,415.30 : x
  2. Step 2: Convert to fraction form
    3,880.32/5,822.02 = 1,415.30/x
  3. Step 3: Cross multiply
    3,880.32x = 5,822.02 × 1,415.30
  4. Step 4: Simplify right side
    3,880.32x = 8,239,904.91
  5. Step 5: Solve for x
    x = 8,239,904.91/3,880.32
  6. Step 6: Final answer
    x = 2,123.51

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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.