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Finding the Fourth Proportional to 4,809.93, 7,213.98 and 1,689.20

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Solution

The fourth proportional to 4,809.93, 7,213.98 and 1,689.20 is: 2,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.93 : 7,213.98 = 1,689.20 : x
  2. Step 2: Convert to fraction form
    4,809.93/7,213.98 = 1,689.20/x
  3. Step 3: Cross multiply
    4,809.93x = 7,213.98 × 1,689.20
  4. Step 4: Simplify right side
    4,809.93x = 12,185,855.02
  5. Step 5: Solve for x
    x = 12,185,855.02/4,809.93
  6. Step 6: Final answer
    x = 2,533.48

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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.