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Finding the Fourth Proportional to 2,586.33, 3,569.13 and 1,407.41

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Solution

The fourth proportional to 2,586.33, 3,569.13 and 1,407.41 is: 1,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.33 : 3,569.13 = 1,407.41 : x
  2. Step 2: Convert to fraction form
    2,586.33/3,569.13 = 1,407.41/x
  3. Step 3: Cross multiply
    2,586.33x = 3,569.13 × 1,407.41
  4. Step 4: Simplify right side
    2,586.33x = 5,023,230.07
  5. Step 5: Solve for x
    x = 5,023,230.07/2,586.33
  6. Step 6: Final answer
    x = 1,942.22

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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.