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Finding the Fourth Proportional to 4,952.55, 7,429.64 and 1,832.56

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Solution

The fourth proportional to 4,952.55, 7,429.64 and 1,832.56 is: 2,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.55 : 7,429.64 = 1,832.56 : x
  2. Step 2: Convert to fraction form
    4,952.55/7,429.64 = 1,832.56/x
  3. Step 3: Cross multiply
    4,952.55x = 7,429.64 × 1,832.56
  4. Step 4: Simplify right side
    4,952.55x = 13,615,261.08
  5. Step 5: Solve for x
    x = 13,615,261.08/4,952.55
  6. Step 6: Final answer
    x = 2,749.14

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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.