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Finding the Fourth Proportional to 4,683.66, 6,461.46 and 3,004.53

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Solution

The fourth proportional to 4,683.66, 6,461.46 and 3,004.53 is: 4,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.66 : 6,461.46 = 3,004.53 : x
  2. Step 2: Convert to fraction form
    4,683.66/6,461.46 = 3,004.53/x
  3. Step 3: Cross multiply
    4,683.66x = 6,461.46 × 3,004.53
  4. Step 4: Simplify right side
    4,683.66x = 19,413,650.41
  5. Step 5: Solve for x
    x = 19,413,650.41/4,683.66
  6. Step 6: Final answer
    x = 4,144.97

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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.