Home / 4,567-6,844.80-1,642.08

Finding the Fourth Proportional to 4,567, 6,844.80 and 1,642.08

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Solution

The fourth proportional to 4,567, 6,844.80 and 1,642.08 is: 2,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567 : 6,844.80 = 1,642.08 : x
  2. Step 2: Convert to fraction form
    4,567/6,844.80 = 1,642.08/x
  3. Step 3: Cross multiply
    4,567x = 6,844.80 × 1,642.08
  4. Step 4: Simplify right side
    4,567x = 11,239,709.18
  5. Step 5: Solve for x
    x = 11,239,709.18/4,567
  6. Step 6: Final answer
    x = 2,461.07

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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.