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Finding the Fourth Proportional to 4,209.39, 6,314.00 and 1,046.79

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Solution

The fourth proportional to 4,209.39, 6,314.00 and 1,046.79 is: 1,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.39 : 6,314.00 = 1,046.79 : x
  2. Step 2: Convert to fraction form
    4,209.39/6,314.00 = 1,046.79/x
  3. Step 3: Cross multiply
    4,209.39x = 6,314.00 × 1,046.79
  4. Step 4: Simplify right side
    4,209.39x = 6,609,426.83
  5. Step 5: Solve for x
    x = 6,609,426.83/4,209.39
  6. Step 6: Final answer
    x = 1,570.16

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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.