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Finding the Fourth Proportional to 3,419.37, 5,129.37 and 954.18

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Solution

The fourth proportional to 3,419.37, 5,129.37 and 954.18 is: 1,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.37 : 5,129.37 = 954.18 : x
  2. Step 2: Convert to fraction form
    3,419.37/5,129.37 = 954.18/x
  3. Step 3: Cross multiply
    3,419.37x = 5,129.37 × 954.18
  4. Step 4: Simplify right side
    3,419.37x = 4,894,342.27
  5. Step 5: Solve for x
    x = 4,894,342.27/3,419.37
  6. Step 6: Final answer
    x = 1,431.36

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1.5x scale

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.