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Finding the Fourth Proportional to 4,214.81, 5,816.12 and 2,326.39

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Solution

The fourth proportional to 4,214.81, 5,816.12 and 2,326.39 is: 3,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.81 : 5,816.12 = 2,326.39 : x
  2. Step 2: Convert to fraction form
    4,214.81/5,816.12 = 2,326.39/x
  3. Step 3: Cross multiply
    4,214.81x = 5,816.12 × 2,326.39
  4. Step 4: Simplify right side
    4,214.81x = 13,530,569.22
  5. Step 5: Solve for x
    x = 13,530,569.22/4,214.81
  6. Step 6: Final answer
    x = 3,210.25

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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.