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Finding the Fourth Proportional to 2,586.01, 3,568.66 and 1,407.09

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Solution

The fourth proportional to 2,586.01, 3,568.66 and 1,407.09 is: 1,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.01 : 3,568.66 = 1,407.09 : x
  2. Step 2: Convert to fraction form
    2,586.01/3,568.66 = 1,407.09/x
  3. Step 3: Cross multiply
    2,586.01x = 3,568.66 × 1,407.09
  4. Step 4: Simplify right side
    2,586.01x = 5,021,425.80
  5. Step 5: Solve for x
    x = 5,021,425.80/2,586.01
  6. Step 6: Final answer
    x = 1,941.77

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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.