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Finding the Fourth Proportional to 5,462.02, 7,538.84 and 3,867.01

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Solution

The fourth proportional to 5,462.02, 7,538.84 and 3,867.01 is: 5,337.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.02 : 7,538.84 = 3,867.01 : x
  2. Step 2: Convert to fraction form
    5,462.02/7,538.84 = 3,867.01/x
  3. Step 3: Cross multiply
    5,462.02x = 7,538.84 × 3,867.01
  4. Step 4: Simplify right side
    5,462.02x = 29,152,750.33
  5. Step 5: Solve for x
    x = 29,152,750.33/5,462.02
  6. Step 6: Final answer
    x = 5,337.36

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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.