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Finding the Fourth Proportional to 3,602.58, 5,398.80 and 2,712.54

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Solution

The fourth proportional to 3,602.58, 5,398.80 and 2,712.54 is: 4,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.58 : 5,398.80 = 2,712.54 : x
  2. Step 2: Convert to fraction form
    3,602.58/5,398.80 = 2,712.54/x
  3. Step 3: Cross multiply
    3,602.58x = 5,398.80 × 2,712.54
  4. Step 4: Simplify right side
    3,602.58x = 14,644,460.95
  5. Step 5: Solve for x
    x = 14,644,460.95/3,602.58
  6. Step 6: Final answer
    x = 4,064.99

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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.