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Finding the Fourth Proportional to 5,817.01, 8,028.25 and 5,658.69

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Solution

The fourth proportional to 5,817.01, 8,028.25 and 5,658.69 is: 7,809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.01 : 8,028.25 = 5,658.69 : x
  2. Step 2: Convert to fraction form
    5,817.01/8,028.25 = 5,658.69/x
  3. Step 3: Cross multiply
    5,817.01x = 8,028.25 × 5,658.69
  4. Step 4: Simplify right side
    5,817.01x = 45,429,377.99
  5. Step 5: Solve for x
    x = 45,429,377.99/5,817.01
  6. Step 6: Final answer
    x = 7,809.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.