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Finding the Fourth Proportional to 3,317.51, 4,976.33 and 852.35

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Solution

The fourth proportional to 3,317.51, 4,976.33 and 852.35 is: 1,278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.51 : 4,976.33 = 852.35 : x
  2. Step 2: Convert to fraction form
    3,317.51/4,976.33 = 852.35/x
  3. Step 3: Cross multiply
    3,317.51x = 4,976.33 × 852.35
  4. Step 4: Simplify right side
    3,317.51x = 4,241,545.73
  5. Step 5: Solve for x
    x = 4,241,545.73/3,317.51
  6. Step 6: Final answer
    x = 1,278.53

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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.