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Finding the Fourth Proportional to 4,935.56, 7,402.80 and 1,472

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Solution

The fourth proportional to 4,935.56, 7,402.80 and 1,472 is: 2,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.56 : 7,402.80 = 1,472 : x
  2. Step 2: Convert to fraction form
    4,935.56/7,402.80 = 1,472/x
  3. Step 3: Cross multiply
    4,935.56x = 7,402.80 × 1,472
  4. Step 4: Simplify right side
    4,935.56x = 10,896,921.60
  5. Step 5: Solve for x
    x = 10,896,921.60/4,935.56
  6. Step 6: Final answer
    x = 2,207.84

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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.