Home / 3,870.09-5,342.12-2,298.20

Finding the Fourth Proportional to 3,870.09, 5,342.12 and 2,298.20

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Solution

The fourth proportional to 3,870.09, 5,342.12 and 2,298.20 is: 3,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.09 : 5,342.12 = 2,298.20 : x
  2. Step 2: Convert to fraction form
    3,870.09/5,342.12 = 2,298.20/x
  3. Step 3: Cross multiply
    3,870.09x = 5,342.12 × 2,298.20
  4. Step 4: Simplify right side
    3,870.09x = 12,277,221.98
  5. Step 5: Solve for x
    x = 12,277,221.98/3,870.09
  6. Step 6: Final answer
    x = 3,172.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.