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Finding the Fourth Proportional to 4,451.38, 6,686.98 and 4,214.91

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Solution

The fourth proportional to 4,451.38, 6,686.98 and 4,214.91 is: 6,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.38 : 6,686.98 = 4,214.91 : x
  2. Step 2: Convert to fraction form
    4,451.38/6,686.98 = 4,214.91/x
  3. Step 3: Cross multiply
    4,451.38x = 6,686.98 × 4,214.91
  4. Step 4: Simplify right side
    4,451.38x = 28,185,026.46
  5. Step 5: Solve for x
    x = 28,185,026.46/4,451.38
  6. Step 6: Final answer
    x = 6,331.75

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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.