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Finding the Fourth Proportional to 4,296.08, 5,928.64 and 2,407.84

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Solution

The fourth proportional to 4,296.08, 5,928.64 and 2,407.84 is: 3,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.08 : 5,928.64 = 2,407.84 : x
  2. Step 2: Convert to fraction form
    4,296.08/5,928.64 = 2,407.84/x
  3. Step 3: Cross multiply
    4,296.08x = 5,928.64 × 2,407.84
  4. Step 4: Simplify right side
    4,296.08x = 14,275,216.54
  5. Step 5: Solve for x
    x = 14,275,216.54/4,296.08
  6. Step 6: Final answer
    x = 3,322.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.