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Finding the Fourth Proportional to 4,761.52, 6,573.28 and 3,270

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Solution

The fourth proportional to 4,761.52, 6,573.28 and 3,270 is: 4,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.52 : 6,573.28 = 3,270 : x
  2. Step 2: Convert to fraction form
    4,761.52/6,573.28 = 3,270/x
  3. Step 3: Cross multiply
    4,761.52x = 6,573.28 × 3,270
  4. Step 4: Simplify right side
    4,761.52x = 21,494,625.60
  5. Step 5: Solve for x
    x = 21,494,625.60/4,761.52
  6. Step 6: Final answer
    x = 4,514.24

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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.