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Finding the Fourth Proportional to 4,120.87, 5,686.90 and 2,352.64

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Solution

The fourth proportional to 4,120.87, 5,686.90 and 2,352.64 is: 3,246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.87 : 5,686.90 = 2,352.64 : x
  2. Step 2: Convert to fraction form
    4,120.87/5,686.90 = 2,352.64/x
  3. Step 3: Cross multiply
    4,120.87x = 5,686.90 × 2,352.64
  4. Step 4: Simplify right side
    4,120.87x = 13,379,228.42
  5. Step 5: Solve for x
    x = 13,379,228.42/4,120.87
  6. Step 6: Final answer
    x = 3,246.70

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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.