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Finding the Fourth Proportional to 5,208.98, 7,814.75 and 1,699.18

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Solution

The fourth proportional to 5,208.98, 7,814.75 and 1,699.18 is: 2,549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.98 : 7,814.75 = 1,699.18 : x
  2. Step 2: Convert to fraction form
    5,208.98/7,814.75 = 1,699.18/x
  3. Step 3: Cross multiply
    5,208.98x = 7,814.75 × 1,699.18
  4. Step 4: Simplify right side
    5,208.98x = 13,278,653.21
  5. Step 5: Solve for x
    x = 13,278,653.21/5,208.98
  6. Step 6: Final answer
    x = 2,549.18

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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.