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Finding the Fourth Proportional to 3,092.04, 4,637.36 and 900.28

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Solution

The fourth proportional to 3,092.04, 4,637.36 and 900.28 is: 1,350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.04 : 4,637.36 = 900.28 : x
  2. Step 2: Convert to fraction form
    3,092.04/4,637.36 = 900.28/x
  3. Step 3: Cross multiply
    3,092.04x = 4,637.36 × 900.28
  4. Step 4: Simplify right side
    3,092.04x = 4,174,922.46
  5. Step 5: Solve for x
    x = 4,174,922.46/3,092.04
  6. Step 6: Final answer
    x = 1,350.22

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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.