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Finding the Fourth Proportional to 2,586.57, 3,569.49 and 1,407.62

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Solution

The fourth proportional to 2,586.57, 3,569.49 and 1,407.62 is: 1,942.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.57 : 3,569.49 = 1,407.62 : x
  2. Step 2: Convert to fraction form
    2,586.57/3,569.49 = 1,407.62/x
  3. Step 3: Cross multiply
    2,586.57x = 3,569.49 × 1,407.62
  4. Step 4: Simplify right side
    2,586.57x = 5,024,467.67
  5. Step 5: Solve for x
    x = 5,024,467.67/2,586.57
  6. Step 6: Final answer
    x = 1,942.52

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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.