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Finding the Fourth Proportional to 3,784.22, 5,225.54 and 3,660.29

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Solution

The fourth proportional to 3,784.22, 5,225.54 and 3,660.29 is: 5,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.22 : 5,225.54 = 3,660.29 : x
  2. Step 2: Convert to fraction form
    3,784.22/5,225.54 = 3,660.29/x
  3. Step 3: Cross multiply
    3,784.22x = 5,225.54 × 3,660.29
  4. Step 4: Simplify right side
    3,784.22x = 19,126,947.38
  5. Step 5: Solve for x
    x = 19,126,947.38/3,784.22
  6. Step 6: Final answer
    x = 5,054.40

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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.