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Finding the Fourth Proportional to 4,700.39, 7,037.62 and 3,820.85

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Solution

The fourth proportional to 4,700.39, 7,037.62 and 3,820.85 is: 5,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.39 : 7,037.62 = 3,820.85 : x
  2. Step 2: Convert to fraction form
    4,700.39/7,037.62 = 3,820.85/x
  3. Step 3: Cross multiply
    4,700.39x = 7,037.62 × 3,820.85
  4. Step 4: Simplify right side
    4,700.39x = 26,889,645.64
  5. Step 5: Solve for x
    x = 26,889,645.64/4,700.39
  6. Step 6: Final answer
    x = 5,720.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.