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Finding the Fourth Proportional to 5,231.38, 7,848.30 and 1,533.52

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Solution

The fourth proportional to 5,231.38, 7,848.30 and 1,533.52 is: 2,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.38 : 7,848.30 = 1,533.52 : x
  2. Step 2: Convert to fraction form
    5,231.38/7,848.30 = 1,533.52/x
  3. Step 3: Cross multiply
    5,231.38x = 7,848.30 × 1,533.52
  4. Step 4: Simplify right side
    5,231.38x = 12,035,525.02
  5. Step 5: Solve for x
    x = 12,035,525.02/5,231.38
  6. Step 6: Final answer
    x = 2,300.64

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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.