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Finding the Fourth Proportional to 4,824.24, 7,235.95 and 1,901.76

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Solution

The fourth proportional to 4,824.24, 7,235.95 and 1,901.76 is: 2,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.24 : 7,235.95 = 1,901.76 : x
  2. Step 2: Convert to fraction form
    4,824.24/7,235.95 = 1,901.76/x
  3. Step 3: Cross multiply
    4,824.24x = 7,235.95 × 1,901.76
  4. Step 4: Simplify right side
    4,824.24x = 13,761,040.27
  5. Step 5: Solve for x
    x = 13,761,040.27/4,824.24
  6. Step 6: Final answer
    x = 2,852.48

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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.