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Finding the Fourth Proportional to 5,357.97, 7,394.22 and 3,000.13

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Solution

The fourth proportional to 5,357.97, 7,394.22 and 3,000.13 is: 4,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.97 : 7,394.22 = 3,000.13 : x
  2. Step 2: Convert to fraction form
    5,357.97/7,394.22 = 3,000.13/x
  3. Step 3: Cross multiply
    5,357.97x = 7,394.22 × 3,000.13
  4. Step 4: Simplify right side
    5,357.97x = 22,183,602.76
  5. Step 5: Solve for x
    x = 22,183,602.76/5,357.97
  6. Step 6: Final answer
    x = 4,140.30

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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.