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Finding the Fourth Proportional to 4,954.47, 6,838.48 and 2,966.57

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Solution

The fourth proportional to 4,954.47, 6,838.48 and 2,966.57 is: 4,094.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.47 : 6,838.48 = 2,966.57 : x
  2. Step 2: Convert to fraction form
    4,954.47/6,838.48 = 2,966.57/x
  3. Step 3: Cross multiply
    4,954.47x = 6,838.48 × 2,966.57
  4. Step 4: Simplify right side
    4,954.47x = 20,286,846.55
  5. Step 5: Solve for x
    x = 20,286,846.55/4,954.47
  6. Step 6: Final answer
    x = 4,094.66

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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.