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Finding the Fourth Proportional to 3,214.54, 4,817.15 and 1,569.23

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Solution

The fourth proportional to 3,214.54, 4,817.15 and 1,569.23 is: 2,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.54 : 4,817.15 = 1,569.23 : x
  2. Step 2: Convert to fraction form
    3,214.54/4,817.15 = 1,569.23/x
  3. Step 3: Cross multiply
    3,214.54x = 4,817.15 × 1,569.23
  4. Step 4: Simplify right side
    3,214.54x = 7,559,184.36
  5. Step 5: Solve for x
    x = 7,559,184.36/3,214.54
  6. Step 6: Final answer
    x = 2,351.56

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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.