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Finding the Fourth Proportional to 5,445.18, 8,162.88 and 1,980

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Solution

The fourth proportional to 5,445.18, 8,162.88 and 1,980 is: 2,968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,445.18 : 8,162.88 = 1,980 : x
  2. Step 2: Convert to fraction form
    5,445.18/8,162.88 = 1,980/x
  3. Step 3: Cross multiply
    5,445.18x = 8,162.88 × 1,980
  4. Step 4: Simplify right side
    5,445.18x = 16,162,502.40
  5. Step 5: Solve for x
    x = 16,162,502.40/5,445.18
  6. Step 6: Final answer
    x = 2,968.22

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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.