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Finding the Fourth Proportional to 3,091.30, 4,637.67 and 900.07

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Solution

The fourth proportional to 3,091.30, 4,637.67 and 900.07 is: 1,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.30 : 4,637.67 = 900.07 : x
  2. Step 2: Convert to fraction form
    3,091.30/4,637.67 = 900.07/x
  3. Step 3: Cross multiply
    3,091.30x = 4,637.67 × 900.07
  4. Step 4: Simplify right side
    3,091.30x = 4,174,227.64
  5. Step 5: Solve for x
    x = 4,174,227.64/3,091.30
  6. Step 6: Final answer
    x = 1,350.31

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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.