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Finding the Fourth Proportional to 4,752.14, 6,556.64 and 3,260.44

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Solution

The fourth proportional to 4,752.14, 6,556.64 and 3,260.44 is: 4,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.14 : 6,556.64 = 3,260.44 : x
  2. Step 2: Convert to fraction form
    4,752.14/6,556.64 = 3,260.44/x
  3. Step 3: Cross multiply
    4,752.14x = 6,556.64 × 3,260.44
  4. Step 4: Simplify right side
    4,752.14x = 21,377,531.32
  5. Step 5: Solve for x
    x = 21,377,531.32/4,752.14
  6. Step 6: Final answer
    x = 4,498.51

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