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Finding the Fourth Proportional to 4,932.64, 7,395.60 and 1,852

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Solution

The fourth proportional to 4,932.64, 7,395.60 and 1,852 is: 2,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.64 : 7,395.60 = 1,852 : x
  2. Step 2: Convert to fraction form
    4,932.64/7,395.60 = 1,852/x
  3. Step 3: Cross multiply
    4,932.64x = 7,395.60 × 1,852
  4. Step 4: Simplify right side
    4,932.64x = 13,696,651.20
  5. Step 5: Solve for x
    x = 13,696,651.20/4,932.64
  6. Step 6: Final answer
    x = 2,776.74

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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.