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Finding the Fourth Proportional to 5,157.06, 7,743.48 and 4,545.91

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Solution

The fourth proportional to 5,157.06, 7,743.48 and 4,545.91 is: 6,825.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.06 : 7,743.48 = 4,545.91 : x
  2. Step 2: Convert to fraction form
    5,157.06/7,743.48 = 4,545.91/x
  3. Step 3: Cross multiply
    5,157.06x = 7,743.48 × 4,545.91
  4. Step 4: Simplify right side
    5,157.06x = 35,201,163.17
  5. Step 5: Solve for x
    x = 35,201,163.17/5,157.06
  6. Step 6: Final answer
    x = 6,825.82

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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.