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Finding the Fourth Proportional to 4,449.51, 6,635.19 and 4,090.47

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Solution

The fourth proportional to 4,449.51, 6,635.19 and 4,090.47 is: 6,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.51 : 6,635.19 = 4,090.47 : x
  2. Step 2: Convert to fraction form
    4,449.51/6,635.19 = 4,090.47/x
  3. Step 3: Cross multiply
    4,449.51x = 6,635.19 × 4,090.47
  4. Step 4: Simplify right side
    4,449.51x = 27,141,045.64
  5. Step 5: Solve for x
    x = 27,141,045.64/4,449.51
  6. Step 6: Final answer
    x = 6,099.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.