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Finding the Fourth Proportional to 4,953.70, 7,431.61 and 1,665.91

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Solution

The fourth proportional to 4,953.70, 7,431.61 and 1,665.91 is: 2,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.70 : 7,431.61 = 1,665.91 : x
  2. Step 2: Convert to fraction form
    4,953.70/7,431.61 = 1,665.91/x
  3. Step 3: Cross multiply
    4,953.70x = 7,431.61 × 1,665.91
  4. Step 4: Simplify right side
    4,953.70x = 12,380,393.42
  5. Step 5: Solve for x
    x = 12,380,393.42/4,953.70
  6. Step 6: Final answer
    x = 2,499.22

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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.