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Finding the Fourth Proportional to 5,746.95, 7,933.95 and 5,410.80

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Solution

The fourth proportional to 5,746.95, 7,933.95 and 5,410.80 is: 7,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.95 : 7,933.95 = 5,410.80 : x
  2. Step 2: Convert to fraction form
    5,746.95/7,933.95 = 5,410.80/x
  3. Step 3: Cross multiply
    5,746.95x = 7,933.95 × 5,410.80
  4. Step 4: Simplify right side
    5,746.95x = 42,929,016.66
  5. Step 5: Solve for x
    x = 42,929,016.66/5,746.95
  6. Step 6: Final answer
    x = 7,469.88

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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.