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Finding the Fourth Proportional to 4,038.96, 6,017.82 and 3,774

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Solution

The fourth proportional to 4,038.96, 6,017.82 and 3,774 is: 5,623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.96 : 6,017.82 = 3,774 : x
  2. Step 2: Convert to fraction form
    4,038.96/6,017.82 = 3,774/x
  3. Step 3: Cross multiply
    4,038.96x = 6,017.82 × 3,774
  4. Step 4: Simplify right side
    4,038.96x = 22,711,252.68
  5. Step 5: Solve for x
    x = 22,711,252.68/4,038.96
  6. Step 6: Final answer
    x = 5,623.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.