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Finding the Fourth Proportional to 4,332.76, 6,497.22 and 2,023

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Solution

The fourth proportional to 4,332.76, 6,497.22 and 2,023 is: 3,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.76 : 6,497.22 = 2,023 : x
  2. Step 2: Convert to fraction form
    4,332.76/6,497.22 = 2,023/x
  3. Step 3: Cross multiply
    4,332.76x = 6,497.22 × 2,023
  4. Step 4: Simplify right side
    4,332.76x = 13,143,876.06
  5. Step 5: Solve for x
    x = 13,143,876.06/4,332.76
  6. Step 6: Final answer
    x = 3,033.60

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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.