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Finding the Fourth Proportional to 4,854.62, 6,699.90 and 2,865.86

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Solution

The fourth proportional to 4,854.62, 6,699.90 and 2,865.86 is: 3,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.62 : 6,699.90 = 2,865.86 : x
  2. Step 2: Convert to fraction form
    4,854.62/6,699.90 = 2,865.86/x
  3. Step 3: Cross multiply
    4,854.62x = 6,699.90 × 2,865.86
  4. Step 4: Simplify right side
    4,854.62x = 19,200,975.41
  5. Step 5: Solve for x
    x = 19,200,975.41/4,854.62
  6. Step 6: Final answer
    x = 3,955.20

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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.