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Finding the Fourth Proportional to 4,567.54, 6,853.94 and 1,934.86

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Solution

The fourth proportional to 4,567.54, 6,853.94 and 1,934.86 is: 2,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.54 : 6,853.94 = 1,934.86 : x
  2. Step 2: Convert to fraction form
    4,567.54/6,853.94 = 1,934.86/x
  3. Step 3: Cross multiply
    4,567.54x = 6,853.94 × 1,934.86
  4. Step 4: Simplify right side
    4,567.54x = 13,261,414.35
  5. Step 5: Solve for x
    x = 13,261,414.35/4,567.54
  6. Step 6: Final answer
    x = 2,903.40

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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.