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Finding the Fourth Proportional to 5,363.95, 7,402.69 and 2,974.16

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Solution

The fourth proportional to 5,363.95, 7,402.69 and 2,974.16 is: 4,104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.95 : 7,402.69 = 2,974.16 : x
  2. Step 2: Convert to fraction form
    5,363.95/7,402.69 = 2,974.16/x
  3. Step 3: Cross multiply
    5,363.95x = 7,402.69 × 2,974.16
  4. Step 4: Simplify right side
    5,363.95x = 22,016,801.51
  5. Step 5: Solve for x
    x = 22,016,801.51/5,363.95
  6. Step 6: Final answer
    x = 4,104.59

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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.