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Finding the Fourth Proportional to 4,932, 6,806.61 and 2,836.53

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Solution

The fourth proportional to 4,932, 6,806.61 and 2,836.53 is: 3,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932 : 6,806.61 = 2,836.53 : x
  2. Step 2: Convert to fraction form
    4,932/6,806.61 = 2,836.53/x
  3. Step 3: Cross multiply
    4,932x = 6,806.61 × 2,836.53
  4. Step 4: Simplify right side
    4,932x = 19,307,153.46
  5. Step 5: Solve for x
    x = 19,307,153.46/4,932
  6. Step 6: Final answer
    x = 3,914.67

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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.