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Finding the Fourth Proportional to 5,101.92, 7,653.60 and 1,638.40

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Solution

The fourth proportional to 5,101.92, 7,653.60 and 1,638.40 is: 2,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.92 : 7,653.60 = 1,638.40 : x
  2. Step 2: Convert to fraction form
    5,101.92/7,653.60 = 1,638.40/x
  3. Step 3: Cross multiply
    5,101.92x = 7,653.60 × 1,638.40
  4. Step 4: Simplify right side
    5,101.92x = 12,539,658.24
  5. Step 5: Solve for x
    x = 12,539,658.24/5,101.92
  6. Step 6: Final answer
    x = 2,457.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.