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Finding the Fourth Proportional to 4,954.14, 7,431.47 and 1,256.40

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Solution

The fourth proportional to 4,954.14, 7,431.47 and 1,256.40 is: 1,884.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.14 : 7,431.47 = 1,256.40 : x
  2. Step 2: Convert to fraction form
    4,954.14/7,431.47 = 1,256.40/x
  3. Step 3: Cross multiply
    4,954.14x = 7,431.47 × 1,256.40
  4. Step 4: Simplify right side
    4,954.14x = 9,336,892.63
  5. Step 5: Solve for x
    x = 9,336,892.63/4,954.14
  6. Step 6: Final answer
    x = 1,884.66

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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.