Home / 5,106.93-7,660.24-1,409.38

Finding the Fourth Proportional to 5,106.93, 7,660.24 and 1,409.38

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Solution

The fourth proportional to 5,106.93, 7,660.24 and 1,409.38 is: 2,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.93 : 7,660.24 = 1,409.38 : x
  2. Step 2: Convert to fraction form
    5,106.93/7,660.24 = 1,409.38/x
  3. Step 3: Cross multiply
    5,106.93x = 7,660.24 × 1,409.38
  4. Step 4: Simplify right side
    5,106.93x = 10,796,166.38
  5. Step 5: Solve for x
    x = 10,796,166.38/5,106.93
  6. Step 6: Final answer
    x = 2,114.02

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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.