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Finding the Fourth Proportional to 3,509.34, 4,840.82 and 2,267.34

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Solution

The fourth proportional to 3,509.34, 4,840.82 and 2,267.34 is: 3,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.34 : 4,840.82 = 2,267.34 : x
  2. Step 2: Convert to fraction form
    3,509.34/4,840.82 = 2,267.34/x
  3. Step 3: Cross multiply
    3,509.34x = 4,840.82 × 2,267.34
  4. Step 4: Simplify right side
    3,509.34x = 10,975,784.82
  5. Step 5: Solve for x
    x = 10,975,784.82/3,509.34
  6. Step 6: Final answer
    x = 3,127.59

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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.