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Finding the Fourth Proportional to 4,389, 6,580.02 and 2,196.54

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Solution

The fourth proportional to 4,389, 6,580.02 and 2,196.54 is: 3,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,389 : 6,580.02 = 2,196.54 : x
  2. Step 2: Convert to fraction form
    4,389/6,580.02 = 2,196.54/x
  3. Step 3: Cross multiply
    4,389x = 6,580.02 × 2,196.54
  4. Step 4: Simplify right side
    4,389x = 14,453,277.13
  5. Step 5: Solve for x
    x = 14,453,277.13/4,389
  6. Step 6: Final answer
    x = 3,293.07

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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.