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Finding the Fourth Proportional to 3,773.08, 5,660 and 1,307.89

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Solution

The fourth proportional to 3,773.08, 5,660 and 1,307.89 is: 1,961.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.08 : 5,660 = 1,307.89 : x
  2. Step 2: Convert to fraction form
    3,773.08/5,660 = 1,307.89/x
  3. Step 3: Cross multiply
    3,773.08x = 5,660 × 1,307.89
  4. Step 4: Simplify right side
    3,773.08x = 7,402,657.40
  5. Step 5: Solve for x
    x = 7,402,657.40/3,773.08
  6. Step 6: Final answer
    x = 1,961.97

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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.