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Finding the Fourth Proportional to 5,164.04, 7,127 and 3,403.48

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Solution

The fourth proportional to 5,164.04, 7,127 and 3,403.48 is: 4,697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.04 : 7,127 = 3,403.48 : x
  2. Step 2: Convert to fraction form
    5,164.04/7,127 = 3,403.48/x
  3. Step 3: Cross multiply
    5,164.04x = 7,127 × 3,403.48
  4. Step 4: Simplify right side
    5,164.04x = 24,256,601.96
  5. Step 5: Solve for x
    x = 24,256,601.96/5,164.04
  6. Step 6: Final answer
    x = 4,697.21

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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.