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Finding the Fourth Proportional to 3,435.99, 5,154.60 and 1,096.51

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Solution

The fourth proportional to 3,435.99, 5,154.60 and 1,096.51 is: 1,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.99 : 5,154.60 = 1,096.51 : x
  2. Step 2: Convert to fraction form
    3,435.99/5,154.60 = 1,096.51/x
  3. Step 3: Cross multiply
    3,435.99x = 5,154.60 × 1,096.51
  4. Step 4: Simplify right side
    3,435.99x = 5,652,070.45
  5. Step 5: Solve for x
    x = 5,652,070.45/3,435.99
  6. Step 6: Final answer
    x = 1,644.96

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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.