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Finding the Fourth Proportional to 3,503.13, 5,254.69 and 906.06

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Solution

The fourth proportional to 3,503.13, 5,254.69 and 906.06 is: 1,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.13 : 5,254.69 = 906.06 : x
  2. Step 2: Convert to fraction form
    3,503.13/5,254.69 = 906.06/x
  3. Step 3: Cross multiply
    3,503.13x = 5,254.69 × 906.06
  4. Step 4: Simplify right side
    3,503.13x = 4,761,064.42
  5. Step 5: Solve for x
    x = 4,761,064.42/3,503.13
  6. Step 6: Final answer
    x = 1,359.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.