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Finding the Fourth Proportional to 4,953.32, 7,424.84 and 1,665.30

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Solution

The fourth proportional to 4,953.32, 7,424.84 and 1,665.30 is: 2,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.32 : 7,424.84 = 1,665.30 : x
  2. Step 2: Convert to fraction form
    4,953.32/7,424.84 = 1,665.30/x
  3. Step 3: Cross multiply
    4,953.32x = 7,424.84 × 1,665.30
  4. Step 4: Simplify right side
    4,953.32x = 12,364,586.05
  5. Step 5: Solve for x
    x = 12,364,586.05/4,953.32
  6. Step 6: Final answer
    x = 2,496.22

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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.