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Finding the Fourth Proportional to 2,586.57, 3,569.36 and 1,407.65

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Solution

The fourth proportional to 2,586.57, 3,569.36 and 1,407.65 is: 1,942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.57 : 3,569.36 = 1,407.65 : x
  2. Step 2: Convert to fraction form
    2,586.57/3,569.36 = 1,407.65/x
  3. Step 3: Cross multiply
    2,586.57x = 3,569.36 × 1,407.65
  4. Step 4: Simplify right side
    2,586.57x = 5,024,395.28
  5. Step 5: Solve for x
    x = 5,024,395.28/2,586.57
  6. Step 6: Final answer
    x = 1,942.49

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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.