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Finding the Fourth Proportional to 4,663.44, 6,984.23 and 2,580.12

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Solution

The fourth proportional to 4,663.44, 6,984.23 and 2,580.12 is: 3,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.44 : 6,984.23 = 2,580.12 : x
  2. Step 2: Convert to fraction form
    4,663.44/6,984.23 = 2,580.12/x
  3. Step 3: Cross multiply
    4,663.44x = 6,984.23 × 2,580.12
  4. Step 4: Simplify right side
    4,663.44x = 18,020,138.61
  5. Step 5: Solve for x
    x = 18,020,138.61/4,663.44
  6. Step 6: Final answer
    x = 3,864.13

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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.