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Finding the Fourth Proportional to 5,209.98, 7,816.25 and 1,700.18

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Solution

The fourth proportional to 5,209.98, 7,816.25 and 1,700.18 is: 2,550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.98 : 7,816.25 = 1,700.18 : x
  2. Step 2: Convert to fraction form
    5,209.98/7,816.25 = 1,700.18/x
  3. Step 3: Cross multiply
    5,209.98x = 7,816.25 × 1,700.18
  4. Step 4: Simplify right side
    5,209.98x = 13,289,031.93
  5. Step 5: Solve for x
    x = 13,289,031.93/5,209.98
  6. Step 6: Final answer
    x = 2,550.69

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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.