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Finding the Fourth Proportional to 5,063.52, 7,602.28 and 2,600

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Solution

The fourth proportional to 5,063.52, 7,602.28 and 2,600 is: 3,903.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.52 : 7,602.28 = 2,600 : x
  2. Step 2: Convert to fraction form
    5,063.52/7,602.28 = 2,600/x
  3. Step 3: Cross multiply
    5,063.52x = 7,602.28 × 2,600
  4. Step 4: Simplify right side
    5,063.52x = 19,765,928
  5. Step 5: Solve for x
    x = 19,765,928/5,063.52
  6. Step 6: Final answer
    x = 3,903.59

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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.