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Finding the Fourth Proportional to 5,743.52, 7,926.63 and 3,506.70

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Solution

The fourth proportional to 5,743.52, 7,926.63 and 3,506.70 is: 4,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.52 : 7,926.63 = 3,506.70 : x
  2. Step 2: Convert to fraction form
    5,743.52/7,926.63 = 3,506.70/x
  3. Step 3: Cross multiply
    5,743.52x = 7,926.63 × 3,506.70
  4. Step 4: Simplify right side
    5,743.52x = 27,796,313.42
  5. Step 5: Solve for x
    x = 27,796,313.42/5,743.52
  6. Step 6: Final answer
    x = 4,839.60

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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.