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Finding the Fourth Proportional to 4,665.83, 7,000.58 and 1,744.37

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Solution

The fourth proportional to 4,665.83, 7,000.58 and 1,744.37 is: 2,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.83 : 7,000.58 = 1,744.37 : x
  2. Step 2: Convert to fraction form
    4,665.83/7,000.58 = 1,744.37/x
  3. Step 3: Cross multiply
    4,665.83x = 7,000.58 × 1,744.37
  4. Step 4: Simplify right side
    4,665.83x = 12,211,601.73
  5. Step 5: Solve for x
    x = 12,211,601.73/4,665.83
  6. Step 6: Final answer
    x = 2,617.24

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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.