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Finding the Fourth Proportional to 5,395.83, 7,446.63 and 3,006

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Solution

The fourth proportional to 5,395.83, 7,446.63 and 3,006 is: 4,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.83 : 7,446.63 = 3,006 : x
  2. Step 2: Convert to fraction form
    5,395.83/7,446.63 = 3,006/x
  3. Step 3: Cross multiply
    5,395.83x = 7,446.63 × 3,006
  4. Step 4: Simplify right side
    5,395.83x = 22,384,569.78
  5. Step 5: Solve for x
    x = 22,384,569.78/5,395.83
  6. Step 6: Final answer
    x = 4,148.49

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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.