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Finding the Fourth Proportional to 4,684.32, 6,465.65 and 2,914.88

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Solution

The fourth proportional to 4,684.32, 6,465.65 and 2,914.88 is: 4,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.32 : 6,465.65 = 2,914.88 : x
  2. Step 2: Convert to fraction form
    4,684.32/6,465.65 = 2,914.88/x
  3. Step 3: Cross multiply
    4,684.32x = 6,465.65 × 2,914.88
  4. Step 4: Simplify right side
    4,684.32x = 18,846,546.97
  5. Step 5: Solve for x
    x = 18,846,546.97/4,684.32
  6. Step 6: Final answer
    x = 4,023.33

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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.