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Finding the Fourth Proportional to 4,902.78, 7,354.62 and 2,435.16

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Solution

The fourth proportional to 4,902.78, 7,354.62 and 2,435.16 is: 3,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.78 : 7,354.62 = 2,435.16 : x
  2. Step 2: Convert to fraction form
    4,902.78/7,354.62 = 2,435.16/x
  3. Step 3: Cross multiply
    4,902.78x = 7,354.62 × 2,435.16
  4. Step 4: Simplify right side
    4,902.78x = 17,909,676.44
  5. Step 5: Solve for x
    x = 17,909,676.44/4,902.78
  6. Step 6: Final answer
    x = 3,652.96

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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.