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Finding the Fourth Proportional to 4,148.94, 5,730.99 and 3,099.18

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Solution

The fourth proportional to 4,148.94, 5,730.99 and 3,099.18 is: 4,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.94 : 5,730.99 = 3,099.18 : x
  2. Step 2: Convert to fraction form
    4,148.94/5,730.99 = 3,099.18/x
  3. Step 3: Cross multiply
    4,148.94x = 5,730.99 × 3,099.18
  4. Step 4: Simplify right side
    4,148.94x = 17,761,369.59
  5. Step 5: Solve for x
    x = 17,761,369.59/4,148.94
  6. Step 6: Final answer
    x = 4,280.94

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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.