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Finding the Fourth Proportional to 3,438.99, 5,160.04 and 1,465.16

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Solution

The fourth proportional to 3,438.99, 5,160.04 and 1,465.16 is: 2,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.99 : 5,160.04 = 1,465.16 : x
  2. Step 2: Convert to fraction form
    3,438.99/5,160.04 = 1,465.16/x
  3. Step 3: Cross multiply
    3,438.99x = 5,160.04 × 1,465.16
  4. Step 4: Simplify right side
    3,438.99x = 7,560,254.74
  5. Step 5: Solve for x
    x = 7,560,254.74/3,438.99
  6. Step 6: Final answer
    x = 2,198.39

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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.