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Finding the Fourth Proportional to 3,586.09, 4,948.81 and 2,014.19

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Solution

The fourth proportional to 3,586.09, 4,948.81 and 2,014.19 is: 2,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.09 : 4,948.81 = 2,014.19 : x
  2. Step 2: Convert to fraction form
    3,586.09/4,948.81 = 2,014.19/x
  3. Step 3: Cross multiply
    3,586.09x = 4,948.81 × 2,014.19
  4. Step 4: Simplify right side
    3,586.09x = 9,967,833.76
  5. Step 5: Solve for x
    x = 9,967,833.76/3,586.09
  6. Step 6: Final answer
    x = 2,779.58

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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.