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Finding the Fourth Proportional to 4,843.51, 6,683.84 and 2,854.15

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Solution

The fourth proportional to 4,843.51, 6,683.84 and 2,854.15 is: 3,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.51 : 6,683.84 = 2,854.15 : x
  2. Step 2: Convert to fraction form
    4,843.51/6,683.84 = 2,854.15/x
  3. Step 3: Cross multiply
    4,843.51x = 6,683.84 × 2,854.15
  4. Step 4: Simplify right side
    4,843.51x = 19,076,681.94
  5. Step 5: Solve for x
    x = 19,076,681.94/4,843.51
  6. Step 6: Final answer
    x = 3,938.61

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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.