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Finding the Fourth Proportional to 4,210.44, 6,315.64 and 1,288.64

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Solution

The fourth proportional to 4,210.44, 6,315.64 and 1,288.64 is: 1,932.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.44 : 6,315.64 = 1,288.64 : x
  2. Step 2: Convert to fraction form
    4,210.44/6,315.64 = 1,288.64/x
  3. Step 3: Cross multiply
    4,210.44x = 6,315.64 × 1,288.64
  4. Step 4: Simplify right side
    4,210.44x = 8,138,586.33
  5. Step 5: Solve for x
    x = 8,138,586.33/4,210.44
  6. Step 6: Final answer
    x = 1,932.95

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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.