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Finding the Fourth Proportional to 4,820.66, 7,230.86 and 1,533.95

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Solution

The fourth proportional to 4,820.66, 7,230.86 and 1,533.95 is: 2,300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820.66 : 7,230.86 = 1,533.95 : x
  2. Step 2: Convert to fraction form
    4,820.66/7,230.86 = 1,533.95/x
  3. Step 3: Cross multiply
    4,820.66x = 7,230.86 × 1,533.95
  4. Step 4: Simplify right side
    4,820.66x = 11,091,770.03
  5. Step 5: Solve for x
    x = 11,091,770.03/4,820.66
  6. Step 6: Final answer
    x = 2,300.88

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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.