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Finding the Fourth Proportional to 5,207.75, 7,813.24 and 1,510.50

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Solution

The fourth proportional to 5,207.75, 7,813.24 and 1,510.50 is: 2,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.75 : 7,813.24 = 1,510.50 : x
  2. Step 2: Convert to fraction form
    5,207.75/7,813.24 = 1,510.50/x
  3. Step 3: Cross multiply
    5,207.75x = 7,813.24 × 1,510.50
  4. Step 4: Simplify right side
    5,207.75x = 11,801,899.02
  5. Step 5: Solve for x
    x = 11,801,899.02/5,207.75
  6. Step 6: Final answer
    x = 2,266.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.