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Finding the Fourth Proportional to 4,652.91, 6,972.08 and 2,801.86

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Solution

The fourth proportional to 4,652.91, 6,972.08 and 2,801.86 is: 4,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.91 : 6,972.08 = 2,801.86 : x
  2. Step 2: Convert to fraction form
    4,652.91/6,972.08 = 2,801.86/x
  3. Step 3: Cross multiply
    4,652.91x = 6,972.08 × 2,801.86
  4. Step 4: Simplify right side
    4,652.91x = 19,534,760.63
  5. Step 5: Solve for x
    x = 19,534,760.63/4,652.91
  6. Step 6: Final answer
    x = 4,198.40

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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.