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Finding the Fourth Proportional to 3,649.76, 5,477.28 and 1,428.92

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Solution

The fourth proportional to 3,649.76, 5,477.28 and 1,428.92 is: 2,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.76 : 5,477.28 = 1,428.92 : x
  2. Step 2: Convert to fraction form
    3,649.76/5,477.28 = 1,428.92/x
  3. Step 3: Cross multiply
    3,649.76x = 5,477.28 × 1,428.92
  4. Step 4: Simplify right side
    3,649.76x = 7,826,594.94
  5. Step 5: Solve for x
    x = 7,826,594.94/3,649.76
  6. Step 6: Final answer
    x = 2,144.41

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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.