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Finding the Fourth Proportional to 4,784.53, 6,602.31 and 2,659.87

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Solution

The fourth proportional to 4,784.53, 6,602.31 and 2,659.87 is: 3,670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.53 : 6,602.31 = 2,659.87 : x
  2. Step 2: Convert to fraction form
    4,784.53/6,602.31 = 2,659.87/x
  3. Step 3: Cross multiply
    4,784.53x = 6,602.31 × 2,659.87
  4. Step 4: Simplify right side
    4,784.53x = 17,561,286.30
  5. Step 5: Solve for x
    x = 17,561,286.30/4,784.53
  6. Step 6: Final answer
    x = 3,670.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.