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Finding the Fourth Proportional to 3,030.57, 4,545.83 and 839.22

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Solution

The fourth proportional to 3,030.57, 4,545.83 and 839.22 is: 1,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.57 : 4,545.83 = 839.22 : x
  2. Step 2: Convert to fraction form
    3,030.57/4,545.83 = 839.22/x
  3. Step 3: Cross multiply
    3,030.57x = 4,545.83 × 839.22
  4. Step 4: Simplify right side
    3,030.57x = 3,814,947.26
  5. Step 5: Solve for x
    x = 3,814,947.26/3,030.57
  6. Step 6: Final answer
    x = 1,258.82

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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.