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Finding the Fourth Proportional to 5,095.26, 7,643.10 and 1,808.70

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Solution

The fourth proportional to 5,095.26, 7,643.10 and 1,808.70 is: 2,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.26 : 7,643.10 = 1,808.70 : x
  2. Step 2: Convert to fraction form
    5,095.26/7,643.10 = 1,808.70/x
  3. Step 3: Cross multiply
    5,095.26x = 7,643.10 × 1,808.70
  4. Step 4: Simplify right side
    5,095.26x = 13,824,074.97
  5. Step 5: Solve for x
    x = 13,824,074.97/5,095.26
  6. Step 6: Final answer
    x = 2,713.12

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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.