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Finding the Fourth Proportional to 3,502.98, 5,254.50 and 905.92

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Solution

The fourth proportional to 3,502.98, 5,254.50 and 905.92 is: 1,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.98 : 5,254.50 = 905.92 : x
  2. Step 2: Convert to fraction form
    3,502.98/5,254.50 = 905.92/x
  3. Step 3: Cross multiply
    3,502.98x = 5,254.50 × 905.92
  4. Step 4: Simplify right side
    3,502.98x = 4,760,156.64
  5. Step 5: Solve for x
    x = 4,760,156.64/3,502.98
  6. Step 6: Final answer
    x = 1,358.89

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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.