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Finding the Fourth Proportional to 4,046.76, 6,071 and 2,292.59

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Solution

The fourth proportional to 4,046.76, 6,071 and 2,292.59 is: 3,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.76 : 6,071 = 2,292.59 : x
  2. Step 2: Convert to fraction form
    4,046.76/6,071 = 2,292.59/x
  3. Step 3: Cross multiply
    4,046.76x = 6,071 × 2,292.59
  4. Step 4: Simplify right side
    4,046.76x = 13,918,313.89
  5. Step 5: Solve for x
    x = 13,918,313.89/4,046.76
  6. Step 6: Final answer
    x = 3,439.38

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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.