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Finding the Fourth Proportional to 4,236.65, 5,848.05 and 2,469.74

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Solution

The fourth proportional to 4,236.65, 5,848.05 and 2,469.74 is: 3,409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.65 : 5,848.05 = 2,469.74 : x
  2. Step 2: Convert to fraction form
    4,236.65/5,848.05 = 2,469.74/x
  3. Step 3: Cross multiply
    4,236.65x = 5,848.05 × 2,469.74
  4. Step 4: Simplify right side
    4,236.65x = 14,443,162.03
  5. Step 5: Solve for x
    x = 14,443,162.03/4,236.65
  6. Step 6: Final answer
    x = 3,409.10

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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.