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Finding the Fourth Proportional to 4,696.60, 7,045.28 and 2,099.80

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Solution

The fourth proportional to 4,696.60, 7,045.28 and 2,099.80 is: 3,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.60 : 7,045.28 = 2,099.80 : x
  2. Step 2: Convert to fraction form
    4,696.60/7,045.28 = 2,099.80/x
  3. Step 3: Cross multiply
    4,696.60x = 7,045.28 × 2,099.80
  4. Step 4: Simplify right side
    4,696.60x = 14,793,678.94
  5. Step 5: Solve for x
    x = 14,793,678.94/4,696.60
  6. Step 6: Final answer
    x = 3,149.87

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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.