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Finding the Fourth Proportional to 4,296.42, 5,926.95 and 2,705.01

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Solution

The fourth proportional to 4,296.42, 5,926.95 and 2,705.01 is: 3,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.42 : 5,926.95 = 2,705.01 : x
  2. Step 2: Convert to fraction form
    4,296.42/5,926.95 = 2,705.01/x
  3. Step 3: Cross multiply
    4,296.42x = 5,926.95 × 2,705.01
  4. Step 4: Simplify right side
    4,296.42x = 16,032,459.02
  5. Step 5: Solve for x
    x = 16,032,459.02/4,296.42
  6. Step 6: Final answer
    x = 3,731.59

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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.