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Finding the Fourth Proportional to 5,403.66, 7,454.48 and 3,164.14

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Solution

The fourth proportional to 5,403.66, 7,454.48 and 3,164.14 is: 4,365.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.66 : 7,454.48 = 3,164.14 : x
  2. Step 2: Convert to fraction form
    5,403.66/7,454.48 = 3,164.14/x
  3. Step 3: Cross multiply
    5,403.66x = 7,454.48 × 3,164.14
  4. Step 4: Simplify right side
    5,403.66x = 23,587,018.35
  5. Step 5: Solve for x
    x = 23,587,018.35/5,403.66
  6. Step 6: Final answer
    x = 4,365.01

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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.