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Finding the Fourth Proportional to 5,442.90, 8,164.16 and 1,440.30

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Solution

The fourth proportional to 5,442.90, 8,164.16 and 1,440.30 is: 2,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.90 : 8,164.16 = 1,440.30 : x
  2. Step 2: Convert to fraction form
    5,442.90/8,164.16 = 1,440.30/x
  3. Step 3: Cross multiply
    5,442.90x = 8,164.16 × 1,440.30
  4. Step 4: Simplify right side
    5,442.90x = 11,758,839.65
  5. Step 5: Solve for x
    x = 11,758,839.65/5,442.90
  6. Step 6: Final answer
    x = 2,160.40

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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.