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Finding the Fourth Proportional to 4,210.46, 6,315.19 and 1,288.79

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Solution

The fourth proportional to 4,210.46, 6,315.19 and 1,288.79 is: 1,933.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.46 : 6,315.19 = 1,288.79 : x
  2. Step 2: Convert to fraction form
    4,210.46/6,315.19 = 1,288.79/x
  3. Step 3: Cross multiply
    4,210.46x = 6,315.19 × 1,288.79
  4. Step 4: Simplify right side
    4,210.46x = 8,138,953.72
  5. Step 5: Solve for x
    x = 8,138,953.72/4,210.46
  6. Step 6: Final answer
    x = 1,933.03

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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.