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Finding the Fourth Proportional to 5,103.63, 7,654.50 and 1,816.83

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Solution

The fourth proportional to 5,103.63, 7,654.50 and 1,816.83 is: 2,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.63 : 7,654.50 = 1,816.83 : x
  2. Step 2: Convert to fraction form
    5,103.63/7,654.50 = 1,816.83/x
  3. Step 3: Cross multiply
    5,103.63x = 7,654.50 × 1,816.83
  4. Step 4: Simplify right side
    5,103.63x = 13,906,925.24
  5. Step 5: Solve for x
    x = 13,906,925.24/5,103.63
  6. Step 6: Final answer
    x = 2,724.91

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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.