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Finding the Fourth Proportional to 3,509.92, 4,842.30 and 2,181.25

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Solution

The fourth proportional to 3,509.92, 4,842.30 and 2,181.25 is: 3,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.92 : 4,842.30 = 2,181.25 : x
  2. Step 2: Convert to fraction form
    3,509.92/4,842.30 = 2,181.25/x
  3. Step 3: Cross multiply
    3,509.92x = 4,842.30 × 2,181.25
  4. Step 4: Simplify right side
    3,509.92x = 10,562,266.88
  5. Step 5: Solve for x
    x = 10,562,266.88/3,509.92
  6. Step 6: Final answer
    x = 3,009.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.