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Finding the Fourth Proportional to 3,409.71, 5,108.05 and 2,857.95

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Solution

The fourth proportional to 3,409.71, 5,108.05 and 2,857.95 is: 4,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.71 : 5,108.05 = 2,857.95 : x
  2. Step 2: Convert to fraction form
    3,409.71/5,108.05 = 2,857.95/x
  3. Step 3: Cross multiply
    3,409.71x = 5,108.05 × 2,857.95
  4. Step 4: Simplify right side
    3,409.71x = 14,598,551.50
  5. Step 5: Solve for x
    x = 14,598,551.50/3,409.71
  6. Step 6: Final answer
    x = 4,281.46

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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.