Home / 5,206.86-7,810.36-1,744.10

Finding the Fourth Proportional to 5,206.86, 7,810.36 and 1,744.10

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Solution

The fourth proportional to 5,206.86, 7,810.36 and 1,744.10 is: 2,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.86 : 7,810.36 = 1,744.10 : x
  2. Step 2: Convert to fraction form
    5,206.86/7,810.36 = 1,744.10/x
  3. Step 3: Cross multiply
    5,206.86x = 7,810.36 × 1,744.10
  4. Step 4: Simplify right side
    5,206.86x = 13,622,048.88
  5. Step 5: Solve for x
    x = 13,622,048.88/5,206.86
  6. Step 6: Final answer
    x = 2,616.17

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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.