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Finding the Fourth Proportional to 4,000.08, 5,522.40 and 2,678.16

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Solution

The fourth proportional to 4,000.08, 5,522.40 and 2,678.16 is: 3,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.08 : 5,522.40 = 2,678.16 : x
  2. Step 2: Convert to fraction form
    4,000.08/5,522.40 = 2,678.16/x
  3. Step 3: Cross multiply
    4,000.08x = 5,522.40 × 2,678.16
  4. Step 4: Simplify right side
    4,000.08x = 14,789,870.78
  5. Step 5: Solve for x
    x = 14,789,870.78/4,000.08
  6. Step 6: Final answer
    x = 3,697.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.