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Finding the Fourth Proportional to 5,187.85, 7,798.17 and 4,466.14

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Solution

The fourth proportional to 5,187.85, 7,798.17 and 4,466.14 is: 6,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.85 : 7,798.17 = 4,466.14 : x
  2. Step 2: Convert to fraction form
    5,187.85/7,798.17 = 4,466.14/x
  3. Step 3: Cross multiply
    5,187.85x = 7,798.17 × 4,466.14
  4. Step 4: Simplify right side
    5,187.85x = 34,827,716.22
  5. Step 5: Solve for x
    x = 34,827,716.22/5,187.85
  6. Step 6: Final answer
    x = 6,713.33

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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.