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Finding the Fourth Proportional to 4,332.60, 6,499.08 and 2,143.08

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Solution

The fourth proportional to 4,332.60, 6,499.08 and 2,143.08 is: 3,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.60 : 6,499.08 = 2,143.08 : x
  2. Step 2: Convert to fraction form
    4,332.60/6,499.08 = 2,143.08/x
  3. Step 3: Cross multiply
    4,332.60x = 6,499.08 × 2,143.08
  4. Step 4: Simplify right side
    4,332.60x = 13,928,048.37
  5. Step 5: Solve for x
    x = 13,928,048.37/4,332.60
  6. Step 6: Final answer
    x = 3,214.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.