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Finding the Fourth Proportional to 4,659.27, 6,985.26 and 2,924.25

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Solution

The fourth proportional to 4,659.27, 6,985.26 and 2,924.25 is: 4,384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.27 : 6,985.26 = 2,924.25 : x
  2. Step 2: Convert to fraction form
    4,659.27/6,985.26 = 2,924.25/x
  3. Step 3: Cross multiply
    4,659.27x = 6,985.26 × 2,924.25
  4. Step 4: Simplify right side
    4,659.27x = 20,426,646.56
  5. Step 5: Solve for x
    x = 20,426,646.56/4,659.27
  6. Step 6: Final answer
    x = 4,384.09

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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.