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Finding the Fourth Proportional to 5,630.06, 8,442.65 and 2,164.88

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Solution

The fourth proportional to 5,630.06, 8,442.65 and 2,164.88 is: 3,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.06 : 8,442.65 = 2,164.88 : x
  2. Step 2: Convert to fraction form
    5,630.06/8,442.65 = 2,164.88/x
  3. Step 3: Cross multiply
    5,630.06x = 8,442.65 × 2,164.88
  4. Step 4: Simplify right side
    5,630.06x = 18,277,271.09
  5. Step 5: Solve for x
    x = 18,277,271.09/5,630.06
  6. Step 6: Final answer
    x = 3,246.38

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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.