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Finding the Fourth Proportional to 4,400.64, 6,555.11 and 4,166.90

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Solution

The fourth proportional to 4,400.64, 6,555.11 and 4,166.90 is: 6,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400.64 : 6,555.11 = 4,166.90 : x
  2. Step 2: Convert to fraction form
    4,400.64/6,555.11 = 4,166.90/x
  3. Step 3: Cross multiply
    4,400.64x = 6,555.11 × 4,166.90
  4. Step 4: Simplify right side
    4,400.64x = 27,314,467.02
  5. Step 5: Solve for x
    x = 27,314,467.02/4,400.64
  6. Step 6: Final answer
    x = 6,206.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.