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Finding the Fourth Proportional to 4,827.32, 7,229.62 and 2,354.38

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Solution

The fourth proportional to 4,827.32, 7,229.62 and 2,354.38 is: 3,526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.32 : 7,229.62 = 2,354.38 : x
  2. Step 2: Convert to fraction form
    4,827.32/7,229.62 = 2,354.38/x
  3. Step 3: Cross multiply
    4,827.32x = 7,229.62 × 2,354.38
  4. Step 4: Simplify right side
    4,827.32x = 17,021,272.74
  5. Step 5: Solve for x
    x = 17,021,272.74/4,827.32
  6. Step 6: Final answer
    x = 3,526.03

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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.