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Finding the Fourth Proportional to 3,502.85, 4,830.74 and 2,321.87

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Solution

The fourth proportional to 3,502.85, 4,830.74 and 2,321.87 is: 3,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.85 : 4,830.74 = 2,321.87 : x
  2. Step 2: Convert to fraction form
    3,502.85/4,830.74 = 2,321.87/x
  3. Step 3: Cross multiply
    3,502.85x = 4,830.74 × 2,321.87
  4. Step 4: Simplify right side
    3,502.85x = 11,216,350.28
  5. Step 5: Solve for x
    x = 11,216,350.28/3,502.85
  6. Step 6: Final answer
    x = 3,202.06

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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.