Home / 3,902.31-5,852.66-1,823.30

Finding the Fourth Proportional to 3,902.31, 5,852.66 and 1,823.30

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Solution

The fourth proportional to 3,902.31, 5,852.66 and 1,823.30 is: 2,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.31 : 5,852.66 = 1,823.30 : x
  2. Step 2: Convert to fraction form
    3,902.31/5,852.66 = 1,823.30/x
  3. Step 3: Cross multiply
    3,902.31x = 5,852.66 × 1,823.30
  4. Step 4: Simplify right side
    3,902.31x = 10,671,130.32
  5. Step 5: Solve for x
    x = 10,671,130.32/3,902.31
  6. Step 6: Final answer
    x = 2,734.56

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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.