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Finding the Fourth Proportional to 4,773.72, 7,160.40 and 1,311.08

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Solution

The fourth proportional to 4,773.72, 7,160.40 and 1,311.08 is: 1,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.72 : 7,160.40 = 1,311.08 : x
  2. Step 2: Convert to fraction form
    4,773.72/7,160.40 = 1,311.08/x
  3. Step 3: Cross multiply
    4,773.72x = 7,160.40 × 1,311.08
  4. Step 4: Simplify right side
    4,773.72x = 9,387,857.23
  5. Step 5: Solve for x
    x = 9,387,857.23/4,773.72
  6. Step 6: Final answer
    x = 1,966.57

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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.