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Finding the Fourth Proportional to 5,469, 7,547.22 and 3,374.34

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Solution

The fourth proportional to 5,469, 7,547.22 and 3,374.34 is: 4,656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469 : 7,547.22 = 3,374.34 : x
  2. Step 2: Convert to fraction form
    5,469/7,547.22 = 3,374.34/x
  3. Step 3: Cross multiply
    5,469x = 7,547.22 × 3,374.34
  4. Step 4: Simplify right side
    5,469x = 25,466,886.33
  5. Step 5: Solve for x
    x = 25,466,886.33/5,469
  6. Step 6: Final answer
    x = 4,656.59

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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.