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Finding the Fourth Proportional to 4,499.44, 6,206.16 and 4,127.68

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Solution

The fourth proportional to 4,499.44, 6,206.16 and 4,127.68 is: 5,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,499.44 : 6,206.16 = 4,127.68 : x
  2. Step 2: Convert to fraction form
    4,499.44/6,206.16 = 4,127.68/x
  3. Step 3: Cross multiply
    4,499.44x = 6,206.16 × 4,127.68
  4. Step 4: Simplify right side
    4,499.44x = 25,617,042.51
  5. Step 5: Solve for x
    x = 25,617,042.51/4,499.44
  6. Step 6: Final answer
    x = 5,693.38

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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.