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Finding the Fourth Proportional to 4,318.67, 6,478.13 and 1,686.07

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Solution

The fourth proportional to 4,318.67, 6,478.13 and 1,686.07 is: 2,529.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318.67 : 6,478.13 = 1,686.07 : x
  2. Step 2: Convert to fraction form
    4,318.67/6,478.13 = 1,686.07/x
  3. Step 3: Cross multiply
    4,318.67x = 6,478.13 × 1,686.07
  4. Step 4: Simplify right side
    4,318.67x = 10,922,580.65
  5. Step 5: Solve for x
    x = 10,922,580.65/4,318.67
  6. Step 6: Final answer
    x = 2,529.15

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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.