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Finding the Fourth Proportional to 4,696.08, 7,045.05 and 2,099.01

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Solution

The fourth proportional to 4,696.08, 7,045.05 and 2,099.01 is: 3,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.08 : 7,045.05 = 2,099.01 : x
  2. Step 2: Convert to fraction form
    4,696.08/7,045.05 = 2,099.01/x
  3. Step 3: Cross multiply
    4,696.08x = 7,045.05 × 2,099.01
  4. Step 4: Simplify right side
    4,696.08x = 14,787,630.40
  5. Step 5: Solve for x
    x = 14,787,630.40/4,696.08
  6. Step 6: Final answer
    x = 3,148.93

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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.