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Finding the Fourth Proportional to 4,159.89, 5,740.62 and 2,296.89

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Solution

The fourth proportional to 4,159.89, 5,740.62 and 2,296.89 is: 3,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.89 : 5,740.62 = 2,296.89 : x
  2. Step 2: Convert to fraction form
    4,159.89/5,740.62 = 2,296.89/x
  3. Step 3: Cross multiply
    4,159.89x = 5,740.62 × 2,296.89
  4. Step 4: Simplify right side
    4,159.89x = 13,185,572.67
  5. Step 5: Solve for x
    x = 13,185,572.67/4,159.89
  6. Step 6: Final answer
    x = 3,169.69

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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.