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Finding the Fourth Proportional to 5,335.66, 7,362.84 and 2,977.66

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Solution

The fourth proportional to 5,335.66, 7,362.84 and 2,977.66 is: 4,108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.66 : 7,362.84 = 2,977.66 : x
  2. Step 2: Convert to fraction form
    5,335.66/7,362.84 = 2,977.66/x
  3. Step 3: Cross multiply
    5,335.66x = 7,362.84 × 2,977.66
  4. Step 4: Simplify right side
    5,335.66x = 21,924,034.15
  5. Step 5: Solve for x
    x = 21,924,034.15/5,335.66
  6. Step 6: Final answer
    x = 4,108.96

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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.