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Finding the Fourth Proportional to 5,223.06, 7,834.86 and 1,937.16

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Solution

The fourth proportional to 5,223.06, 7,834.86 and 1,937.16 is: 2,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.06 : 7,834.86 = 1,937.16 : x
  2. Step 2: Convert to fraction form
    5,223.06/7,834.86 = 1,937.16/x
  3. Step 3: Cross multiply
    5,223.06x = 7,834.86 × 1,937.16
  4. Step 4: Simplify right side
    5,223.06x = 15,177,377.40
  5. Step 5: Solve for x
    x = 15,177,377.40/5,223.06
  6. Step 6: Final answer
    x = 2,905.84

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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.