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Finding the Fourth Proportional to 4,309.68, 6,463.66 and 1,188.88

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Solution

The fourth proportional to 4,309.68, 6,463.66 and 1,188.88 is: 1,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.68 : 6,463.66 = 1,188.88 : x
  2. Step 2: Convert to fraction form
    4,309.68/6,463.66 = 1,188.88/x
  3. Step 3: Cross multiply
    4,309.68x = 6,463.66 × 1,188.88
  4. Step 4: Simplify right side
    4,309.68x = 7,684,516.10
  5. Step 5: Solve for x
    x = 7,684,516.10/4,309.68
  6. Step 6: Final answer
    x = 1,783.08

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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.