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Finding the Fourth Proportional to 5,461.92, 7,537.50 and 2,977.92

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Solution

The fourth proportional to 5,461.92, 7,537.50 and 2,977.92 is: 4,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.92 : 7,537.50 = 2,977.92 : x
  2. Step 2: Convert to fraction form
    5,461.92/7,537.50 = 2,977.92/x
  3. Step 3: Cross multiply
    5,461.92x = 7,537.50 × 2,977.92
  4. Step 4: Simplify right side
    5,461.92x = 22,446,072
  5. Step 5: Solve for x
    x = 22,446,072/5,461.92
  6. Step 6: Final answer
    x = 4,109.56

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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.