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Finding the Fourth Proportional to 5,773.38, 7,967.30 and 3,384.76

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Solution

The fourth proportional to 5,773.38, 7,967.30 and 3,384.76 is: 4,670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.38 : 7,967.30 = 3,384.76 : x
  2. Step 2: Convert to fraction form
    5,773.38/7,967.30 = 3,384.76/x
  3. Step 3: Cross multiply
    5,773.38x = 7,967.30 × 3,384.76
  4. Step 4: Simplify right side
    5,773.38x = 26,967,381.42
  5. Step 5: Solve for x
    x = 26,967,381.42/5,773.38
  6. Step 6: Final answer
    x = 4,670.99

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Why These Related Problems?

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