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Finding the Fourth Proportional to 4,051.17, 6,074.87 and 2,296.17

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Solution

The fourth proportional to 4,051.17, 6,074.87 and 2,296.17 is: 3,443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.17 : 6,074.87 = 2,296.17 : x
  2. Step 2: Convert to fraction form
    4,051.17/6,074.87 = 2,296.17/x
  3. Step 3: Cross multiply
    4,051.17x = 6,074.87 × 2,296.17
  4. Step 4: Simplify right side
    4,051.17x = 13,948,922.77
  5. Step 5: Solve for x
    x = 13,948,922.77/4,051.17
  6. Step 6: Final answer
    x = 3,443.18

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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.