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Finding the Fourth Proportional to 5,742.98, 7,927.31 and 3,384.98

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Solution

The fourth proportional to 5,742.98, 7,927.31 and 3,384.98 is: 4,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.98 : 7,927.31 = 3,384.98 : x
  2. Step 2: Convert to fraction form
    5,742.98/7,927.31 = 3,384.98/x
  3. Step 3: Cross multiply
    5,742.98x = 7,927.31 × 3,384.98
  4. Step 4: Simplify right side
    5,742.98x = 26,833,768.88
  5. Step 5: Solve for x
    x = 26,833,768.88/5,742.98
  6. Step 6: Final answer
    x = 4,672.45

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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.