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Finding the Fourth Proportional to 3,409.68, 5,116.50 and 1,435.16

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Solution

The fourth proportional to 3,409.68, 5,116.50 and 1,435.16 is: 2,153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.68 : 5,116.50 = 1,435.16 : x
  2. Step 2: Convert to fraction form
    3,409.68/5,116.50 = 1,435.16/x
  3. Step 3: Cross multiply
    3,409.68x = 5,116.50 × 1,435.16
  4. Step 4: Simplify right side
    3,409.68x = 7,342,996.14
  5. Step 5: Solve for x
    x = 7,342,996.14/3,409.68
  6. Step 6: Final answer
    x = 2,153.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.