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Finding the Fourth Proportional to 6,653.61, 9,181.64 and 3,819.02

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Solution

The fourth proportional to 6,653.61, 9,181.64 and 3,819.02 is: 5,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.61 : 9,181.64 = 3,819.02 : x
  2. Step 2: Convert to fraction form
    6,653.61/9,181.64 = 3,819.02/x
  3. Step 3: Cross multiply
    6,653.61x = 9,181.64 × 3,819.02
  4. Step 4: Simplify right side
    6,653.61x = 35,064,830.43
  5. Step 5: Solve for x
    x = 35,064,830.43/6,653.61
  6. Step 6: Final answer
    x = 5,270.05

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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.