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Finding the Fourth Proportional to 4,532.28, 6,256.28 and 4,407.44

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Solution

The fourth proportional to 4,532.28, 6,256.28 and 4,407.44 is: 6,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.28 : 6,256.28 = 4,407.44 : x
  2. Step 2: Convert to fraction form
    4,532.28/6,256.28 = 4,407.44/x
  3. Step 3: Cross multiply
    4,532.28x = 6,256.28 × 4,407.44
  4. Step 4: Simplify right side
    4,532.28x = 27,574,178.72
  5. Step 5: Solve for x
    x = 27,574,178.72/4,532.28
  6. Step 6: Final answer
    x = 6,083.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.