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Finding the Fourth Proportional to 3,140.58, 4,707.21 and 2,311.18

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Solution

The fourth proportional to 3,140.58, 4,707.21 and 2,311.18 is: 3,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.58 : 4,707.21 = 2,311.18 : x
  2. Step 2: Convert to fraction form
    3,140.58/4,707.21 = 2,311.18/x
  3. Step 3: Cross multiply
    3,140.58x = 4,707.21 × 2,311.18
  4. Step 4: Simplify right side
    3,140.58x = 10,879,209.61
  5. Step 5: Solve for x
    x = 10,879,209.61/3,140.58
  6. Step 6: Final answer
    x = 3,464.08

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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.