Home / 5,206.42-7,809.62-1,310.83

Finding the Fourth Proportional to 5,206.42, 7,809.62 and 1,310.83

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Solution

The fourth proportional to 5,206.42, 7,809.62 and 1,310.83 is: 1,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.42 : 7,809.62 = 1,310.83 : x
  2. Step 2: Convert to fraction form
    5,206.42/7,809.62 = 1,310.83/x
  3. Step 3: Cross multiply
    5,206.42x = 7,809.62 × 1,310.83
  4. Step 4: Simplify right side
    5,206.42x = 10,237,038.58
  5. Step 5: Solve for x
    x = 10,237,038.58/5,206.42
  6. Step 6: Final answer
    x = 1,966.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.