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Finding the Fourth Proportional to 4,237.83, 6,355.97 and 1,772.00

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Solution

The fourth proportional to 4,237.83, 6,355.97 and 1,772.00 is: 2,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.83 : 6,355.97 = 1,772.00 : x
  2. Step 2: Convert to fraction form
    4,237.83/6,355.97 = 1,772.00/x
  3. Step 3: Cross multiply
    4,237.83x = 6,355.97 × 1,772.00
  4. Step 4: Simplify right side
    4,237.83x = 11,262,738.20
  5. Step 5: Solve for x
    x = 11,262,738.20/4,237.83
  6. Step 6: Final answer
    x = 2,657.67

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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.