Home / 5,464-8,197.92-2,386.24

Finding the Fourth Proportional to 5,464, 8,197.92 and 2,386.24

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Solution

The fourth proportional to 5,464, 8,197.92 and 2,386.24 is: 3,580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464 : 8,197.92 = 2,386.24 : x
  2. Step 2: Convert to fraction form
    5,464/8,197.92 = 2,386.24/x
  3. Step 3: Cross multiply
    5,464x = 8,197.92 × 2,386.24
  4. Step 4: Simplify right side
    5,464x = 19,562,204.62
  5. Step 5: Solve for x
    x = 19,562,204.62/5,464
  6. Step 6: Final answer
    x = 3,580.20

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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.