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Finding the Fourth Proportional to 3,405.76, 5,109.58 and 1,214.70

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Solution

The fourth proportional to 3,405.76, 5,109.58 and 1,214.70 is: 1,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.76 : 5,109.58 = 1,214.70 : x
  2. Step 2: Convert to fraction form
    3,405.76/5,109.58 = 1,214.70/x
  3. Step 3: Cross multiply
    3,405.76x = 5,109.58 × 1,214.70
  4. Step 4: Simplify right side
    3,405.76x = 6,206,606.83
  5. Step 5: Solve for x
    x = 6,206,606.83/3,405.76
  6. Step 6: Final answer
    x = 1,822.39

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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.