Home / 5,208.76-7,812.66-1,313.20

Finding the Fourth Proportional to 5,208.76, 7,812.66 and 1,313.20

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Solution

The fourth proportional to 5,208.76, 7,812.66 and 1,313.20 is: 1,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.76 : 7,812.66 = 1,313.20 : x
  2. Step 2: Convert to fraction form
    5,208.76/7,812.66 = 1,313.20/x
  3. Step 3: Cross multiply
    5,208.76x = 7,812.66 × 1,313.20
  4. Step 4: Simplify right side
    5,208.76x = 10,259,585.11
  5. Step 5: Solve for x
    x = 10,259,585.11/5,208.76
  6. Step 6: Final answer
    x = 1,969.68

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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.