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Finding the Fourth Proportional to 4,555, 6,284.82 and 2,565.16

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Solution

The fourth proportional to 4,555, 6,284.82 and 2,565.16 is: 3,539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,555 : 6,284.82 = 2,565.16 : x
  2. Step 2: Convert to fraction form
    4,555/6,284.82 = 2,565.16/x
  3. Step 3: Cross multiply
    4,555x = 6,284.82 × 2,565.16
  4. Step 4: Simplify right side
    4,555x = 16,121,568.87
  5. Step 5: Solve for x
    x = 16,121,568.87/4,555
  6. Step 6: Final answer
    x = 3,539.31

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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.