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Finding the Fourth Proportional to 5,442.85, 7,509.87 and 3,173.83

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Solution

The fourth proportional to 5,442.85, 7,509.87 and 3,173.83 is: 4,379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.85 : 7,509.87 = 3,173.83 : x
  2. Step 2: Convert to fraction form
    5,442.85/7,509.87 = 3,173.83/x
  3. Step 3: Cross multiply
    5,442.85x = 7,509.87 × 3,173.83
  4. Step 4: Simplify right side
    5,442.85x = 23,835,050.70
  5. Step 5: Solve for x
    x = 23,835,050.70/5,442.85
  6. Step 6: Final answer
    x = 4,379.15

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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.