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Finding the Fourth Proportional to 3,534.36, 5,291.46 and 2,805

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Solution

The fourth proportional to 3,534.36, 5,291.46 and 2,805 is: 4,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.36 : 5,291.46 = 2,805 : x
  2. Step 2: Convert to fraction form
    3,534.36/5,291.46 = 2,805/x
  3. Step 3: Cross multiply
    3,534.36x = 5,291.46 × 2,805
  4. Step 4: Simplify right side
    3,534.36x = 14,842,545.30
  5. Step 5: Solve for x
    x = 14,842,545.30/3,534.36
  6. Step 6: Final answer
    x = 4,199.50

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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.