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Finding the Fourth Proportional to 4,186.64, 6,304.44 and 3,098.64

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Solution

The fourth proportional to 4,186.64, 6,304.44 and 3,098.64 is: 4,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.64 : 6,304.44 = 3,098.64 : x
  2. Step 2: Convert to fraction form
    4,186.64/6,304.44 = 3,098.64/x
  3. Step 3: Cross multiply
    4,186.64x = 6,304.44 × 3,098.64
  4. Step 4: Simplify right side
    4,186.64x = 19,535,189.96
  5. Step 5: Solve for x
    x = 19,535,189.96/4,186.64
  6. Step 6: Final answer
    x = 4,666.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.