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Finding the Fourth Proportional to 4,833.78, 7,248.24 and 2,364.90

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Solution

The fourth proportional to 4,833.78, 7,248.24 and 2,364.90 is: 3,546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.78 : 7,248.24 = 2,364.90 : x
  2. Step 2: Convert to fraction form
    4,833.78/7,248.24 = 2,364.90/x
  3. Step 3: Cross multiply
    4,833.78x = 7,248.24 × 2,364.90
  4. Step 4: Simplify right side
    4,833.78x = 17,141,362.78
  5. Step 5: Solve for x
    x = 17,141,362.78/4,833.78
  6. Step 6: Final answer
    x = 3,546.16

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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.