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Finding the Fourth Proportional to 5,395.75, 7,446.33 and 3,005.83

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Solution

The fourth proportional to 5,395.75, 7,446.33 and 3,005.83 is: 4,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.75 : 7,446.33 = 3,005.83 : x
  2. Step 2: Convert to fraction form
    5,395.75/7,446.33 = 3,005.83/x
  3. Step 3: Cross multiply
    5,395.75x = 7,446.33 × 3,005.83
  4. Step 4: Simplify right side
    5,395.75x = 22,382,402.10
  5. Step 5: Solve for x
    x = 22,382,402.10/5,395.75
  6. Step 6: Final answer
    x = 4,148.15

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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.