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Finding the Fourth Proportional to 3,534.98, 5,301.21 and 1,035.47

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Solution

The fourth proportional to 3,534.98, 5,301.21 and 1,035.47 is: 1,552.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.98 : 5,301.21 = 1,035.47 : x
  2. Step 2: Convert to fraction form
    3,534.98/5,301.21 = 1,035.47/x
  3. Step 3: Cross multiply
    3,534.98x = 5,301.21 × 1,035.47
  4. Step 4: Simplify right side
    3,534.98x = 5,489,261.05
  5. Step 5: Solve for x
    x = 5,489,261.05/3,534.98
  6. Step 6: Final answer
    x = 1,552.84

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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.