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Finding the Fourth Proportional to 5,641.98, 8,461.32 and 1,693.06

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Solution

The fourth proportional to 5,641.98, 8,461.32 and 1,693.06 is: 2,539.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.98 : 8,461.32 = 1,693.06 : x
  2. Step 2: Convert to fraction form
    5,641.98/8,461.32 = 1,693.06/x
  3. Step 3: Cross multiply
    5,641.98x = 8,461.32 × 1,693.06
  4. Step 4: Simplify right side
    5,641.98x = 14,325,522.44
  5. Step 5: Solve for x
    x = 14,325,522.44/5,641.98
  6. Step 6: Final answer
    x = 2,539.09

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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.