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Finding the Fourth Proportional to 5,634, 7,775.42 and 3,276

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Solution

The fourth proportional to 5,634, 7,775.42 and 3,276 is: 4,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634 : 7,775.42 = 3,276 : x
  2. Step 2: Convert to fraction form
    5,634/7,775.42 = 3,276/x
  3. Step 3: Cross multiply
    5,634x = 7,775.42 × 3,276
  4. Step 4: Simplify right side
    5,634x = 25,472,259.54
  5. Step 5: Solve for x
    x = 25,472,259.54/5,634
  6. Step 6: Final answer
    x = 4,521.17

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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.