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Finding the Fourth Proportional to 3,357.54, 5,037.96 and 1,509.96

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Solution

The fourth proportional to 3,357.54, 5,037.96 and 1,509.96 is: 2,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.54 : 5,037.96 = 1,509.96 : x
  2. Step 2: Convert to fraction form
    3,357.54/5,037.96 = 1,509.96/x
  3. Step 3: Cross multiply
    3,357.54x = 5,037.96 × 1,509.96
  4. Step 4: Simplify right side
    3,357.54x = 7,607,118.08
  5. Step 5: Solve for x
    x = 7,607,118.08/3,357.54
  6. Step 6: Final answer
    x = 2,265.68

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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.