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Finding the Fourth Proportional to 3,699.10, 5,548.65 and 3,115.90

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Solution

The fourth proportional to 3,699.10, 5,548.65 and 3,115.90 is: 4,673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.10 : 5,548.65 = 3,115.90 : x
  2. Step 2: Convert to fraction form
    3,699.10/5,548.65 = 3,115.90/x
  3. Step 3: Cross multiply
    3,699.10x = 5,548.65 × 3,115.90
  4. Step 4: Simplify right side
    3,699.10x = 17,289,038.54
  5. Step 5: Solve for x
    x = 17,289,038.54/3,699.10
  6. Step 6: Final answer
    x = 4,673.85

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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.