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Finding the Fourth Proportional to 3,406.40, 5,106.53 and 1,214.62

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Solution

The fourth proportional to 3,406.40, 5,106.53 and 1,214.62 is: 1,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.40 : 5,106.53 = 1,214.62 : x
  2. Step 2: Convert to fraction form
    3,406.40/5,106.53 = 1,214.62/x
  3. Step 3: Cross multiply
    3,406.40x = 5,106.53 × 1,214.62
  4. Step 4: Simplify right side
    3,406.40x = 6,202,492.55
  5. Step 5: Solve for x
    x = 6,202,492.55/3,406.40
  6. Step 6: Final answer
    x = 1,820.83

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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.