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Finding the Fourth Proportional to 6,654.08, 9,182.68 and 3,670.00

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Solution

The fourth proportional to 6,654.08, 9,182.68 and 3,670.00 is: 5,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.08 : 9,182.68 = 3,670.00 : x
  2. Step 2: Convert to fraction form
    6,654.08/9,182.68 = 3,670.00/x
  3. Step 3: Cross multiply
    6,654.08x = 9,182.68 × 3,670.00
  4. Step 4: Simplify right side
    6,654.08x = 33,700,403.47
  5. Step 5: Solve for x
    x = 33,700,403.47/6,654.08
  6. Step 6: Final answer
    x = 5,064.62

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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.