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Finding the Fourth Proportional to 5,442.81, 8,167.85 and 1,980.06

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Solution

The fourth proportional to 5,442.81, 8,167.85 and 1,980.06 is: 2,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.81 : 8,167.85 = 1,980.06 : x
  2. Step 2: Convert to fraction form
    5,442.81/8,167.85 = 1,980.06/x
  3. Step 3: Cross multiply
    5,442.81x = 8,167.85 × 1,980.06
  4. Step 4: Simplify right side
    5,442.81x = 16,172,802.75
  5. Step 5: Solve for x
    x = 16,172,802.75/5,442.81
  6. Step 6: Final answer
    x = 2,971.41

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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.