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Finding the Fourth Proportional to 4,784.79, 7,178.55 and 1,863.93

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Solution

The fourth proportional to 4,784.79, 7,178.55 and 1,863.93 is: 2,796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.79 : 7,178.55 = 1,863.93 : x
  2. Step 2: Convert to fraction form
    4,784.79/7,178.55 = 1,863.93/x
  3. Step 3: Cross multiply
    4,784.79x = 7,178.55 × 1,863.93
  4. Step 4: Simplify right side
    4,784.79x = 13,380,314.70
  5. Step 5: Solve for x
    x = 13,380,314.70/4,784.79
  6. Step 6: Final answer
    x = 2,796.43

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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.