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Finding the Fourth Proportional to 2,586.44, 3,569.21 and 1,407.48

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Solution

The fourth proportional to 2,586.44, 3,569.21 and 1,407.48 is: 1,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.44 : 3,569.21 = 1,407.48 : x
  2. Step 2: Convert to fraction form
    2,586.44/3,569.21 = 1,407.48/x
  3. Step 3: Cross multiply
    2,586.44x = 3,569.21 × 1,407.48
  4. Step 4: Simplify right side
    2,586.44x = 5,023,591.69
  5. Step 5: Solve for x
    x = 5,023,591.69/2,586.44
  6. Step 6: Final answer
    x = 1,942.28

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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.