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Finding the Fourth Proportional to 4,219.77, 6,329.01 and 1,445.80

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Solution

The fourth proportional to 4,219.77, 6,329.01 and 1,445.80 is: 2,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.77 : 6,329.01 = 1,445.80 : x
  2. Step 2: Convert to fraction form
    4,219.77/6,329.01 = 1,445.80/x
  3. Step 3: Cross multiply
    4,219.77x = 6,329.01 × 1,445.80
  4. Step 4: Simplify right side
    4,219.77x = 9,150,482.66
  5. Step 5: Solve for x
    x = 9,150,482.66/4,219.77
  6. Step 6: Final answer
    x = 2,168.48

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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.