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Finding the Fourth Proportional to 3,509.40, 4,842 and 2,446.02

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Solution

The fourth proportional to 3,509.40, 4,842 and 2,446.02 is: 3,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.40 : 4,842 = 2,446.02 : x
  2. Step 2: Convert to fraction form
    3,509.40/4,842 = 2,446.02/x
  3. Step 3: Cross multiply
    3,509.40x = 4,842 × 2,446.02
  4. Step 4: Simplify right side
    3,509.40x = 11,843,628.84
  5. Step 5: Solve for x
    x = 11,843,628.84/3,509.40
  6. Step 6: Final answer
    x = 3,374.83

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Why These Related Problems?

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