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Finding the Fourth Proportional to 6,037.74, 8,332.74 and 3,679.83

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Solution

The fourth proportional to 6,037.74, 8,332.74 and 3,679.83 is: 5,078.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,037.74 : 8,332.74 = 3,679.83 : x
  2. Step 2: Convert to fraction form
    6,037.74/8,332.74 = 3,679.83/x
  3. Step 3: Cross multiply
    6,037.74x = 8,332.74 × 3,679.83
  4. Step 4: Simplify right side
    6,037.74x = 30,663,066.63
  5. Step 5: Solve for x
    x = 30,663,066.63/6,037.74
  6. Step 6: Final answer
    x = 5,078.57

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