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Finding the Fourth Proportional to 5,996.19, 8,948.49 and 5,340.09

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Solution

The fourth proportional to 5,996.19, 8,948.49 and 5,340.09 is: 7,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.19 : 8,948.49 = 5,340.09 : x
  2. Step 2: Convert to fraction form
    5,996.19/8,948.49 = 5,340.09/x
  3. Step 3: Cross multiply
    5,996.19x = 8,948.49 × 5,340.09
  4. Step 4: Simplify right side
    5,996.19x = 47,785,741.96
  5. Step 5: Solve for x
    x = 47,785,741.96/5,996.19
  6. Step 6: Final answer
    x = 7,969.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.