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Finding the Fourth Proportional to 4,290.75, 6,436.71 and 1,369.08

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Solution

The fourth proportional to 4,290.75, 6,436.71 and 1,369.08 is: 2,053.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.75 : 6,436.71 = 1,369.08 : x
  2. Step 2: Convert to fraction form
    4,290.75/6,436.71 = 1,369.08/x
  3. Step 3: Cross multiply
    4,290.75x = 6,436.71 × 1,369.08
  4. Step 4: Simplify right side
    4,290.75x = 8,812,370.93
  5. Step 5: Solve for x
    x = 8,812,370.93/4,290.75
  6. Step 6: Final answer
    x = 2,053.81

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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.