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Finding the Fourth Proportional to 3,456.95, 5,185.38 and 991.77

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Solution

The fourth proportional to 3,456.95, 5,185.38 and 991.77 is: 1,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.95 : 5,185.38 = 991.77 : x
  2. Step 2: Convert to fraction form
    3,456.95/5,185.38 = 991.77/x
  3. Step 3: Cross multiply
    3,456.95x = 5,185.38 × 991.77
  4. Step 4: Simplify right side
    3,456.95x = 5,142,688.60
  5. Step 5: Solve for x
    x = 5,142,688.60/3,456.95
  6. Step 6: Final answer
    x = 1,487.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.