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Finding the Fourth Proportional to 4,296.21, 5,928.47 and 2,407.47

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Solution

The fourth proportional to 4,296.21, 5,928.47 and 2,407.47 is: 3,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.21 : 5,928.47 = 2,407.47 : x
  2. Step 2: Convert to fraction form
    4,296.21/5,928.47 = 2,407.47/x
  3. Step 3: Cross multiply
    4,296.21x = 5,928.47 × 2,407.47
  4. Step 4: Simplify right side
    4,296.21x = 14,272,604.87
  5. Step 5: Solve for x
    x = 14,272,604.87/4,296.21
  6. Step 6: Final answer
    x = 3,322.14

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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.