Home / 3,586-4,948.68-2,014.06

Finding the Fourth Proportional to 3,586, 4,948.68 and 2,014.06

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Solution

The fourth proportional to 3,586, 4,948.68 and 2,014.06 is: 2,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586 : 4,948.68 = 2,014.06 : x
  2. Step 2: Convert to fraction form
    3,586/4,948.68 = 2,014.06/x
  3. Step 3: Cross multiply
    3,586x = 4,948.68 × 2,014.06
  4. Step 4: Simplify right side
    3,586x = 9,966,938.44
  5. Step 5: Solve for x
    x = 9,966,938.44/3,586
  6. Step 6: Final answer
    x = 2,779.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.