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Finding the Fourth Proportional to 5,406.95, 7,462.79 and 3,515.24

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Solution

The fourth proportional to 5,406.95, 7,462.79 and 3,515.24 is: 4,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.95 : 7,462.79 = 3,515.24 : x
  2. Step 2: Convert to fraction form
    5,406.95/7,462.79 = 3,515.24/x
  3. Step 3: Cross multiply
    5,406.95x = 7,462.79 × 3,515.24
  4. Step 4: Simplify right side
    5,406.95x = 26,233,512.18
  5. Step 5: Solve for x
    x = 26,233,512.18/5,406.95
  6. Step 6: Final answer
    x = 4,851.81

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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.