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Finding the Fourth Proportional to 4,578.76, 6,322.24 and 3,514.84

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Solution

The fourth proportional to 4,578.76, 6,322.24 and 3,514.84 is: 4,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.76 : 6,322.24 = 3,514.84 : x
  2. Step 2: Convert to fraction form
    4,578.76/6,322.24 = 3,514.84/x
  3. Step 3: Cross multiply
    4,578.76x = 6,322.24 × 3,514.84
  4. Step 4: Simplify right side
    4,578.76x = 22,221,662.04
  5. Step 5: Solve for x
    x = 22,221,662.04/4,578.76
  6. Step 6: Final answer
    x = 4,853.21

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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.