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Finding the Fourth Proportional to 3,252.63, 4,878.94 and 944.13

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Solution

The fourth proportional to 3,252.63, 4,878.94 and 944.13 is: 1,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.63 : 4,878.94 = 944.13 : x
  2. Step 2: Convert to fraction form
    3,252.63/4,878.94 = 944.13/x
  3. Step 3: Cross multiply
    3,252.63x = 4,878.94 × 944.13
  4. Step 4: Simplify right side
    3,252.63x = 4,606,353.62
  5. Step 5: Solve for x
    x = 4,606,353.62/3,252.63
  6. Step 6: Final answer
    x = 1,416.19

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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.