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Finding the Fourth Proportional to 6,352.14, 8,765.79 and 3,700.02

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Solution

The fourth proportional to 6,352.14, 8,765.79 and 3,700.02 is: 5,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.14 : 8,765.79 = 3,700.02 : x
  2. Step 2: Convert to fraction form
    6,352.14/8,765.79 = 3,700.02/x
  3. Step 3: Cross multiply
    6,352.14x = 8,765.79 × 3,700.02
  4. Step 4: Simplify right side
    6,352.14x = 32,433,598.32
  5. Step 5: Solve for x
    x = 32,433,598.32/6,352.14
  6. Step 6: Final answer
    x = 5,105.93

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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.