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Finding the Fourth Proportional to 4,586, 6,322.20 and 3,262.76

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Solution

The fourth proportional to 4,586, 6,322.20 and 3,262.76 is: 4,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586 : 6,322.20 = 3,262.76 : x
  2. Step 2: Convert to fraction form
    4,586/6,322.20 = 3,262.76/x
  3. Step 3: Cross multiply
    4,586x = 6,322.20 × 3,262.76
  4. Step 4: Simplify right side
    4,586x = 20,627,821.27
  5. Step 5: Solve for x
    x = 20,627,821.27/4,586
  6. Step 6: Final answer
    x = 4,498.00

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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.