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Finding the Fourth Proportional to 4,296.42, 5,926.03 and 3,656.72

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Solution

The fourth proportional to 4,296.42, 5,926.03 and 3,656.72 is: 5,043.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.42 : 5,926.03 = 3,656.72 : x
  2. Step 2: Convert to fraction form
    4,296.42/5,926.03 = 3,656.72/x
  3. Step 3: Cross multiply
    4,296.42x = 5,926.03 × 3,656.72
  4. Step 4: Simplify right side
    4,296.42x = 21,669,838.09
  5. Step 5: Solve for x
    x = 21,669,838.09/4,296.42
  6. Step 6: Final answer
    x = 5,043.70

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