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Finding the Fourth Proportional to 3,357.51, 5,037.93 and 1,509.95

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Solution

The fourth proportional to 3,357.51, 5,037.93 and 1,509.95 is: 2,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.51 : 5,037.93 = 1,509.95 : x
  2. Step 2: Convert to fraction form
    3,357.51/5,037.93 = 1,509.95/x
  3. Step 3: Cross multiply
    3,357.51x = 5,037.93 × 1,509.95
  4. Step 4: Simplify right side
    3,357.51x = 7,606,997.21
  5. Step 5: Solve for x
    x = 7,606,997.21/3,357.51
  6. Step 6: Final answer
    x = 2,265.67

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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.