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Finding the Fourth Proportional to 6,037.17, 8,329.74 and 3,645.26

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Solution

The fourth proportional to 6,037.17, 8,329.74 and 3,645.26 is: 5,029.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,037.17 : 8,329.74 = 3,645.26 : x
  2. Step 2: Convert to fraction form
    6,037.17/8,329.74 = 3,645.26/x
  3. Step 3: Cross multiply
    6,037.17x = 8,329.74 × 3,645.26
  4. Step 4: Simplify right side
    6,037.17x = 30,364,026.38
  5. Step 5: Solve for x
    x = 30,364,026.38/6,037.17
  6. Step 6: Final answer
    x = 5,029.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.