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Finding the Fourth Proportional to 4,296.33, 5,928.62 and 2,407.65

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Solution

The fourth proportional to 4,296.33, 5,928.62 and 2,407.65 is: 3,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.33 : 5,928.62 = 2,407.65 : x
  2. Step 2: Convert to fraction form
    4,296.33/5,928.62 = 2,407.65/x
  3. Step 3: Cross multiply
    4,296.33x = 5,928.62 × 2,407.65
  4. Step 4: Simplify right side
    4,296.33x = 14,274,041.94
  5. Step 5: Solve for x
    x = 14,274,041.94/4,296.33
  6. Step 6: Final answer
    x = 3,322.38

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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.