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Finding the Fourth Proportional to 3,235.84, 4,842.72 and 2,002.72

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Solution

The fourth proportional to 3,235.84, 4,842.72 and 2,002.72 is: 2,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.84 : 4,842.72 = 2,002.72 : x
  2. Step 2: Convert to fraction form
    3,235.84/4,842.72 = 2,002.72/x
  3. Step 3: Cross multiply
    3,235.84x = 4,842.72 × 2,002.72
  4. Step 4: Simplify right side
    3,235.84x = 9,698,612.20
  5. Step 5: Solve for x
    x = 9,698,612.20/3,235.84
  6. Step 6: Final answer
    x = 2,997.25

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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.