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Finding the Fourth Proportional to 3,773.06, 5,658.30 and 1,307.30

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Solution

The fourth proportional to 3,773.06, 5,658.30 and 1,307.30 is: 1,960.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.06 : 5,658.30 = 1,307.30 : x
  2. Step 2: Convert to fraction form
    3,773.06/5,658.30 = 1,307.30/x
  3. Step 3: Cross multiply
    3,773.06x = 5,658.30 × 1,307.30
  4. Step 4: Simplify right side
    3,773.06x = 7,397,109.33
  5. Step 5: Solve for x
    x = 7,397,109.33/3,773.06
  6. Step 6: Final answer
    x = 1,960.51

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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.