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Finding the Fourth Proportional to 4,369.61, 6,557.09 and 1,736.64

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Solution

The fourth proportional to 4,369.61, 6,557.09 and 1,736.64 is: 2,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369.61 : 6,557.09 = 1,736.64 : x
  2. Step 2: Convert to fraction form
    4,369.61/6,557.09 = 1,736.64/x
  3. Step 3: Cross multiply
    4,369.61x = 6,557.09 × 1,736.64
  4. Step 4: Simplify right side
    4,369.61x = 11,387,296.09
  5. Step 5: Solve for x
    x = 11,387,296.09/4,369.61
  6. Step 6: Final answer
    x = 2,606.02

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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.