Home / 3,465.64-5,198.70-1,157.08

Finding the Fourth Proportional to 3,465.64, 5,198.70 and 1,157.08

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Solution

The fourth proportional to 3,465.64, 5,198.70 and 1,157.08 is: 1,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.64 : 5,198.70 = 1,157.08 : x
  2. Step 2: Convert to fraction form
    3,465.64/5,198.70 = 1,157.08/x
  3. Step 3: Cross multiply
    3,465.64x = 5,198.70 × 1,157.08
  4. Step 4: Simplify right side
    3,465.64x = 6,015,311.80
  5. Step 5: Solve for x
    x = 6,015,311.80/3,465.64
  6. Step 6: Final answer
    x = 1,735.70

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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.