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Finding the Fourth Proportional to 3,534.93, 5,302.13 and 902.43

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Solution

The fourth proportional to 3,534.93, 5,302.13 and 902.43 is: 1,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.93 : 5,302.13 = 902.43 : x
  2. Step 2: Convert to fraction form
    3,534.93/5,302.13 = 902.43/x
  3. Step 3: Cross multiply
    3,534.93x = 5,302.13 × 902.43
  4. Step 4: Simplify right side
    3,534.93x = 4,784,796.66
  5. Step 5: Solve for x
    x = 4,784,796.66/3,534.93
  6. Step 6: Final answer
    x = 1,353.58

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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.