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Finding the Fourth Proportional to 4,214.62, 5,816.08 and 2,326.38

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Solution

The fourth proportional to 4,214.62, 5,816.08 and 2,326.38 is: 3,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.62 : 5,816.08 = 2,326.38 : x
  2. Step 2: Convert to fraction form
    4,214.62/5,816.08 = 2,326.38/x
  3. Step 3: Cross multiply
    4,214.62x = 5,816.08 × 2,326.38
  4. Step 4: Simplify right side
    4,214.62x = 13,530,406.37
  5. Step 5: Solve for x
    x = 13,530,406.37/4,214.62
  6. Step 6: Final answer
    x = 3,210.35

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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.