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Finding the Fourth Proportional to 4,700.74, 6,486.94 and 3,022.76

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Solution

The fourth proportional to 4,700.74, 6,486.94 and 3,022.76 is: 4,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.74 : 6,486.94 = 3,022.76 : x
  2. Step 2: Convert to fraction form
    4,700.74/6,486.94 = 3,022.76/x
  3. Step 3: Cross multiply
    4,700.74x = 6,486.94 × 3,022.76
  4. Step 4: Simplify right side
    4,700.74x = 19,608,462.75
  5. Step 5: Solve for x
    x = 19,608,462.75/4,700.74
  6. Step 6: Final answer
    x = 4,171.36

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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.