Home / 6,461-8,917.80-3,807.44

Finding the Fourth Proportional to 6,461, 8,917.80 and 3,807.44

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Solution

The fourth proportional to 6,461, 8,917.80 and 3,807.44 is: 5,255.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461 : 8,917.80 = 3,807.44 : x
  2. Step 2: Convert to fraction form
    6,461/8,917.80 = 3,807.44/x
  3. Step 3: Cross multiply
    6,461x = 8,917.80 × 3,807.44
  4. Step 4: Simplify right side
    6,461x = 33,953,988.43
  5. Step 5: Solve for x
    x = 33,953,988.43/6,461
  6. Step 6: Final answer
    x = 5,255.22

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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.