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Finding the Fourth Proportional to 4,832.40, 7,248.12 and 1,910.64

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Solution

The fourth proportional to 4,832.40, 7,248.12 and 1,910.64 is: 2,865.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.40 : 7,248.12 = 1,910.64 : x
  2. Step 2: Convert to fraction form
    4,832.40/7,248.12 = 1,910.64/x
  3. Step 3: Cross multiply
    4,832.40x = 7,248.12 × 1,910.64
  4. Step 4: Simplify right side
    4,832.40x = 13,848,548.00
  5. Step 5: Solve for x
    x = 13,848,548.00/4,832.40
  6. Step 6: Final answer
    x = 2,865.77

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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.