Home / 4,194-6,315.46-3,106.08

Finding the Fourth Proportional to 4,194, 6,315.46 and 3,106.08

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Solution

The fourth proportional to 4,194, 6,315.46 and 3,106.08 is: 4,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194 : 6,315.46 = 3,106.08 : x
  2. Step 2: Convert to fraction form
    4,194/6,315.46 = 3,106.08/x
  3. Step 3: Cross multiply
    4,194x = 6,315.46 × 3,106.08
  4. Step 4: Simplify right side
    4,194x = 19,616,324.00
  5. Step 5: Solve for x
    x = 19,616,324.00/4,194
  6. Step 6: Final answer
    x = 4,677.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.