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Finding the Fourth Proportional to 3,144.24, 4,716.27 and 953.28

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Solution

The fourth proportional to 3,144.24, 4,716.27 and 953.28 is: 1,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.24 : 4,716.27 = 953.28 : x
  2. Step 2: Convert to fraction form
    3,144.24/4,716.27 = 953.28/x
  3. Step 3: Cross multiply
    3,144.24x = 4,716.27 × 953.28
  4. Step 4: Simplify right side
    3,144.24x = 4,495,925.87
  5. Step 5: Solve for x
    x = 4,495,925.87/3,144.24
  6. Step 6: Final answer
    x = 1,429.89

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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.