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Finding the Fourth Proportional to 4,656.48, 7,012.44 and 4,199.52

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Solution

The fourth proportional to 4,656.48, 7,012.44 and 4,199.52 is: 6,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.48 : 7,012.44 = 4,199.52 : x
  2. Step 2: Convert to fraction form
    4,656.48/7,012.44 = 4,199.52/x
  3. Step 3: Cross multiply
    4,656.48x = 7,012.44 × 4,199.52
  4. Step 4: Simplify right side
    4,656.48x = 29,448,882.03
  5. Step 5: Solve for x
    x = 29,448,882.03/4,656.48
  6. Step 6: Final answer
    x = 6,324.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.