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Finding the Fourth Proportional to 4,296.06, 5,928.66 and 2,407.62

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Solution

The fourth proportional to 4,296.06, 5,928.66 and 2,407.62 is: 3,322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.06 : 5,928.66 = 2,407.62 : x
  2. Step 2: Convert to fraction form
    4,296.06/5,928.66 = 2,407.62/x
  3. Step 3: Cross multiply
    4,296.06x = 5,928.66 × 2,407.62
  4. Step 4: Simplify right side
    4,296.06x = 14,273,960.39
  5. Step 5: Solve for x
    x = 14,273,960.39/4,296.06
  6. Step 6: Final answer
    x = 3,322.57

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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.