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Finding the Fourth Proportional to 5,297.33, 7,946.30 and 2,010.35

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Solution

The fourth proportional to 5,297.33, 7,946.30 and 2,010.35 is: 3,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.33 : 7,946.30 = 2,010.35 : x
  2. Step 2: Convert to fraction form
    5,297.33/7,946.30 = 2,010.35/x
  3. Step 3: Cross multiply
    5,297.33x = 7,946.30 × 2,010.35
  4. Step 4: Simplify right side
    5,297.33x = 15,974,834.15
  5. Step 5: Solve for x
    x = 15,974,834.15/5,297.33
  6. Step 6: Final answer
    x = 3,015.64

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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.