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Finding the Fourth Proportional to 5,673.96, 8,511.32 and 1,513.92

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Solution

The fourth proportional to 5,673.96, 8,511.32 and 1,513.92 is: 2,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.96 : 8,511.32 = 1,513.92 : x
  2. Step 2: Convert to fraction form
    5,673.96/8,511.32 = 1,513.92/x
  3. Step 3: Cross multiply
    5,673.96x = 8,511.32 × 1,513.92
  4. Step 4: Simplify right side
    5,673.96x = 12,885,457.57
  5. Step 5: Solve for x
    x = 12,885,457.57/5,673.96
  6. Step 6: Final answer
    x = 2,270.98

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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.