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Finding the Fourth Proportional to 4,588, 6,333.08 and 2,725

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Solution

The fourth proportional to 4,588, 6,333.08 and 2,725 is: 3,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588 : 6,333.08 = 2,725 : x
  2. Step 2: Convert to fraction form
    4,588/6,333.08 = 2,725/x
  3. Step 3: Cross multiply
    4,588x = 6,333.08 × 2,725
  4. Step 4: Simplify right side
    4,588x = 17,257,643
  5. Step 5: Solve for x
    x = 17,257,643/4,588
  6. Step 6: Final answer
    x = 3,761.47

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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.