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Finding the Fourth Proportional to 6,442.04, 8,890.08 and 3,647

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Solution

The fourth proportional to 6,442.04, 8,890.08 and 3,647 is: 5,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.04 : 8,890.08 = 3,647 : x
  2. Step 2: Convert to fraction form
    6,442.04/8,890.08 = 3,647/x
  3. Step 3: Cross multiply
    6,442.04x = 8,890.08 × 3,647
  4. Step 4: Simplify right side
    6,442.04x = 32,422,121.76
  5. Step 5: Solve for x
    x = 32,422,121.76/6,442.04
  6. Step 6: Final answer
    x = 5,032.90

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