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Finding the Fourth Proportional to 4,683.86, 6,466.74 and 3,005.99

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Solution

The fourth proportional to 4,683.86, 6,466.74 and 3,005.99 is: 4,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.86 : 6,466.74 = 3,005.99 : x
  2. Step 2: Convert to fraction form
    4,683.86/6,466.74 = 3,005.99/x
  3. Step 3: Cross multiply
    4,683.86x = 6,466.74 × 3,005.99
  4. Step 4: Simplify right side
    4,683.86x = 19,438,955.77
  5. Step 5: Solve for x
    x = 19,438,955.77/4,683.86
  6. Step 6: Final answer
    x = 4,150.20

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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.