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Finding the Fourth Proportional to 5,403.80, 7,458 and 3,165.14

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Solution

The fourth proportional to 5,403.80, 7,458 and 3,165.14 is: 4,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.80 : 7,458 = 3,165.14 : x
  2. Step 2: Convert to fraction form
    5,403.80/7,458 = 3,165.14/x
  3. Step 3: Cross multiply
    5,403.80x = 7,458 × 3,165.14
  4. Step 4: Simplify right side
    5,403.80x = 23,605,614.12
  5. Step 5: Solve for x
    x = 23,605,614.12/5,403.80
  6. Step 6: Final answer
    x = 4,368.34

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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.