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Finding the Fourth Proportional to 4,931.11, 6,806.82 and 3,043

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Solution

The fourth proportional to 4,931.11, 6,806.82 and 3,043 is: 4,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.11 : 6,806.82 = 3,043 : x
  2. Step 2: Convert to fraction form
    4,931.11/6,806.82 = 3,043/x
  3. Step 3: Cross multiply
    4,931.11x = 6,806.82 × 3,043
  4. Step 4: Simplify right side
    4,931.11x = 20,713,153.26
  5. Step 5: Solve for x
    x = 20,713,153.26/4,931.11
  6. Step 6: Final answer
    x = 4,200.51

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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.