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Finding the Fourth Proportional to 4,308.71, 6,462.84 and 1,188.74

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Solution

The fourth proportional to 4,308.71, 6,462.84 and 1,188.74 is: 1,783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.71 : 6,462.84 = 1,188.74 : x
  2. Step 2: Convert to fraction form
    4,308.71/6,462.84 = 1,188.74/x
  3. Step 3: Cross multiply
    4,308.71x = 6,462.84 × 1,188.74
  4. Step 4: Simplify right side
    4,308.71x = 7,682,604.11
  5. Step 5: Solve for x
    x = 7,682,604.11/4,308.71
  6. Step 6: Final answer
    x = 1,783.04

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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.