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Finding the Fourth Proportional to 3,419.90, 5,131.20 and 1,569.68

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Solution

The fourth proportional to 3,419.90, 5,131.20 and 1,569.68 is: 2,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.90 : 5,131.20 = 1,569.68 : x
  2. Step 2: Convert to fraction form
    3,419.90/5,131.20 = 1,569.68/x
  3. Step 3: Cross multiply
    3,419.90x = 5,131.20 × 1,569.68
  4. Step 4: Simplify right side
    3,419.90x = 8,054,342.02
  5. Step 5: Solve for x
    x = 8,054,342.02/3,419.90
  6. Step 6: Final answer
    x = 2,355.14

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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.