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Finding the Fourth Proportional to 5,005.83, 6,892.25 and 4,407.92

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Solution

The fourth proportional to 5,005.83, 6,892.25 and 4,407.92 is: 6,069.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.83 : 6,892.25 = 4,407.92 : x
  2. Step 2: Convert to fraction form
    5,005.83/6,892.25 = 4,407.92/x
  3. Step 3: Cross multiply
    5,005.83x = 6,892.25 × 4,407.92
  4. Step 4: Simplify right side
    5,005.83x = 30,380,486.62
  5. Step 5: Solve for x
    x = 30,380,486.62/5,005.83
  6. Step 6: Final answer
    x = 6,069.02

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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.