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Finding the Fourth Proportional to 5,451.66, 7,508.95 and 4,190.30

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Solution

The fourth proportional to 5,451.66, 7,508.95 and 4,190.30 is: 5,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.66 : 7,508.95 = 4,190.30 : x
  2. Step 2: Convert to fraction form
    5,451.66/7,508.95 = 4,190.30/x
  3. Step 3: Cross multiply
    5,451.66x = 7,508.95 × 4,190.30
  4. Step 4: Simplify right side
    5,451.66x = 31,464,753.19
  5. Step 5: Solve for x
    x = 31,464,753.19/5,451.66
  6. Step 6: Final answer
    x = 5,771.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.