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Finding the Fourth Proportional to 4,844.63, 6,684.55 and 2,854.46

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Solution

The fourth proportional to 4,844.63, 6,684.55 and 2,854.46 is: 3,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.63 : 6,684.55 = 2,854.46 : x
  2. Step 2: Convert to fraction form
    4,844.63/6,684.55 = 2,854.46/x
  3. Step 3: Cross multiply
    4,844.63x = 6,684.55 × 2,854.46
  4. Step 4: Simplify right side
    4,844.63x = 19,080,740.03
  5. Step 5: Solve for x
    x = 19,080,740.03/4,844.63
  6. Step 6: Final answer
    x = 3,938.54

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Why These Related Problems?

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