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Finding the Fourth Proportional to 3,409.95, 5,117.46 and 2,534.49

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Solution

The fourth proportional to 3,409.95, 5,117.46 and 2,534.49 is: 3,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.95 : 5,117.46 = 2,534.49 : x
  2. Step 2: Convert to fraction form
    3,409.95/5,117.46 = 2,534.49/x
  3. Step 3: Cross multiply
    3,409.95x = 5,117.46 × 2,534.49
  4. Step 4: Simplify right side
    3,409.95x = 12,970,151.20
  5. Step 5: Solve for x
    x = 12,970,151.20/3,409.95
  6. Step 6: Final answer
    x = 3,803.62

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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.