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Finding the Fourth Proportional to 3,509.60, 4,844.24 and 2,461.92

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Solution

The fourth proportional to 3,509.60, 4,844.24 and 2,461.92 is: 3,398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.60 : 4,844.24 = 2,461.92 : x
  2. Step 2: Convert to fraction form
    3,509.60/4,844.24 = 2,461.92/x
  3. Step 3: Cross multiply
    3,509.60x = 4,844.24 × 2,461.92
  4. Step 4: Simplify right side
    3,509.60x = 11,926,131.34
  5. Step 5: Solve for x
    x = 11,926,131.34/3,509.60
  6. Step 6: Final answer
    x = 3,398.15

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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.