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Finding the Fourth Proportional to 4,691.52, 7,029.99 and 2,956.50

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Solution

The fourth proportional to 4,691.52, 7,029.99 and 2,956.50 is: 4,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.52 : 7,029.99 = 2,956.50 : x
  2. Step 2: Convert to fraction form
    4,691.52/7,029.99 = 2,956.50/x
  3. Step 3: Cross multiply
    4,691.52x = 7,029.99 × 2,956.50
  4. Step 4: Simplify right side
    4,691.52x = 20,784,165.44
  5. Step 5: Solve for x
    x = 20,784,165.44/4,691.52
  6. Step 6: Final answer
    x = 4,430.16

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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.