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Finding the Fourth Proportional to 4,538.84, 6,808.26 and 2,346.44

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Solution

The fourth proportional to 4,538.84, 6,808.26 and 2,346.44 is: 3,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.84 : 6,808.26 = 2,346.44 : x
  2. Step 2: Convert to fraction form
    4,538.84/6,808.26 = 2,346.44/x
  3. Step 3: Cross multiply
    4,538.84x = 6,808.26 × 2,346.44
  4. Step 4: Simplify right side
    4,538.84x = 15,975,173.59
  5. Step 5: Solve for x
    x = 15,975,173.59/4,538.84
  6. Step 6: Final answer
    x = 3,519.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.