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Finding the Fourth Proportional to 5,491.64, 8,235.38 and 1,980.72

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Solution

The fourth proportional to 5,491.64, 8,235.38 and 1,980.72 is: 2,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.64 : 8,235.38 = 1,980.72 : x
  2. Step 2: Convert to fraction form
    5,491.64/8,235.38 = 1,980.72/x
  3. Step 3: Cross multiply
    5,491.64x = 8,235.38 × 1,980.72
  4. Step 4: Simplify right side
    5,491.64x = 16,311,981.87
  5. Step 5: Solve for x
    x = 16,311,981.87/5,491.64
  6. Step 6: Final answer
    x = 2,970.33

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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.