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Finding the Fourth Proportional to 4,806.17, 6,633.76 and 3,132.17

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Solution

The fourth proportional to 4,806.17, 6,633.76 and 3,132.17 is: 4,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.17 : 6,633.76 = 3,132.17 : x
  2. Step 2: Convert to fraction form
    4,806.17/6,633.76 = 3,132.17/x
  3. Step 3: Cross multiply
    4,806.17x = 6,633.76 × 3,132.17
  4. Step 4: Simplify right side
    4,806.17x = 20,778,064.06
  5. Step 5: Solve for x
    x = 20,778,064.06/4,806.17
  6. Step 6: Final answer
    x = 4,323.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.