Home / 5,206.56-7,808.13-1,743

Finding the Fourth Proportional to 5,206.56, 7,808.13 and 1,743

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Solution

The fourth proportional to 5,206.56, 7,808.13 and 1,743 is: 2,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.56 : 7,808.13 = 1,743 : x
  2. Step 2: Convert to fraction form
    5,206.56/7,808.13 = 1,743/x
  3. Step 3: Cross multiply
    5,206.56x = 7,808.13 × 1,743
  4. Step 4: Simplify right side
    5,206.56x = 13,609,570.59
  5. Step 5: Solve for x
    x = 13,609,570.59/5,206.56
  6. Step 6: Final answer
    x = 2,613.93

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Why These Related Problems?

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