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Finding the Fourth Proportional to 5,806.02, 8,007 and 4,317.66

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Solution

The fourth proportional to 5,806.02, 8,007 and 4,317.66 is: 5,954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.02 : 8,007 = 4,317.66 : x
  2. Step 2: Convert to fraction form
    5,806.02/8,007 = 4,317.66/x
  3. Step 3: Cross multiply
    5,806.02x = 8,007 × 4,317.66
  4. Step 4: Simplify right side
    5,806.02x = 34,571,503.62
  5. Step 5: Solve for x
    x = 34,571,503.62/5,806.02
  6. Step 6: Final answer
    x = 5,954.42

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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.