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Finding the Fourth Proportional to 3,054.97, 4,585.87 and 2,854.21

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Solution

The fourth proportional to 3,054.97, 4,585.87 and 2,854.21 is: 4,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.97 : 4,585.87 = 2,854.21 : x
  2. Step 2: Convert to fraction form
    3,054.97/4,585.87 = 2,854.21/x
  3. Step 3: Cross multiply
    3,054.97x = 4,585.87 × 2,854.21
  4. Step 4: Simplify right side
    3,054.97x = 13,089,004.54
  5. Step 5: Solve for x
    x = 13,089,004.54/3,054.97
  6. Step 6: Final answer
    x = 4,284.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.