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Finding the Fourth Proportional to 4,696.84, 7,043.74 and 2,101.64

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Solution

The fourth proportional to 4,696.84, 7,043.74 and 2,101.64 is: 3,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.84 : 7,043.74 = 2,101.64 : x
  2. Step 2: Convert to fraction form
    4,696.84/7,043.74 = 2,101.64/x
  3. Step 3: Cross multiply
    4,696.84x = 7,043.74 × 2,101.64
  4. Step 4: Simplify right side
    4,696.84x = 14,803,405.73
  5. Step 5: Solve for x
    x = 14,803,405.73/4,696.84
  6. Step 6: Final answer
    x = 3,151.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.