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Finding the Fourth Proportional to 4,274.40, 6,411.70 and 1,504.26

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Solution

The fourth proportional to 4,274.40, 6,411.70 and 1,504.26 is: 2,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.40 : 6,411.70 = 1,504.26 : x
  2. Step 2: Convert to fraction form
    4,274.40/6,411.70 = 1,504.26/x
  3. Step 3: Cross multiply
    4,274.40x = 6,411.70 × 1,504.26
  4. Step 4: Simplify right side
    4,274.40x = 9,644,863.84
  5. Step 5: Solve for x
    x = 9,644,863.84/4,274.40
  6. Step 6: Final answer
    x = 2,256.43

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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.