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Finding the Fourth Proportional to 5,773.96, 7,967.76 and 3,384.40

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Solution

The fourth proportional to 5,773.96, 7,967.76 and 3,384.40 is: 4,670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.96 : 7,967.76 = 3,384.40 : x
  2. Step 2: Convert to fraction form
    5,773.96/7,967.76 = 3,384.40/x
  3. Step 3: Cross multiply
    5,773.96x = 7,967.76 × 3,384.40
  4. Step 4: Simplify right side
    5,773.96x = 26,966,086.94
  5. Step 5: Solve for x
    x = 26,966,086.94/5,773.96
  6. Step 6: Final answer
    x = 4,670.29

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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.