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Finding the Fourth Proportional to 5,332.64, 7,358.46 and 3,758

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Solution

The fourth proportional to 5,332.64, 7,358.46 and 3,758 is: 5,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332.64 : 7,358.46 = 3,758 : x
  2. Step 2: Convert to fraction form
    5,332.64/7,358.46 = 3,758/x
  3. Step 3: Cross multiply
    5,332.64x = 7,358.46 × 3,758
  4. Step 4: Simplify right side
    5,332.64x = 27,653,092.68
  5. Step 5: Solve for x
    x = 27,653,092.68/5,332.64
  6. Step 6: Final answer
    x = 5,185.63

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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.