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Finding the Fourth Proportional to 5,442.81, 8,164.40 and 1,744.55

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Solution

The fourth proportional to 5,442.81, 8,164.40 and 1,744.55 is: 2,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.81 : 8,164.40 = 1,744.55 : x
  2. Step 2: Convert to fraction form
    5,442.81/8,164.40 = 1,744.55/x
  3. Step 3: Cross multiply
    5,442.81x = 8,164.40 × 1,744.55
  4. Step 4: Simplify right side
    5,442.81x = 14,243,215.71
  5. Step 5: Solve for x
    x = 14,243,215.71/5,442.81
  6. Step 6: Final answer
    x = 2,616.89

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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.