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Finding the Fourth Proportional to 4,683.42, 6,464.02 and 3,006.94

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Solution

The fourth proportional to 4,683.42, 6,464.02 and 3,006.94 is: 4,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.42 : 6,464.02 = 3,006.94 : x
  2. Step 2: Convert to fraction form
    4,683.42/6,464.02 = 3,006.94/x
  3. Step 3: Cross multiply
    4,683.42x = 6,464.02 × 3,006.94
  4. Step 4: Simplify right side
    4,683.42x = 19,436,920.30
  5. Step 5: Solve for x
    x = 19,436,920.30/4,683.42
  6. Step 6: Final answer
    x = 4,150.16

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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.