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Finding the Fourth Proportional to 4,684.68, 6,465.96 and 3,091.62

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Solution

The fourth proportional to 4,684.68, 6,465.96 and 3,091.62 is: 4,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.68 : 6,465.96 = 3,091.62 : x
  2. Step 2: Convert to fraction form
    4,684.68/6,465.96 = 3,091.62/x
  3. Step 3: Cross multiply
    4,684.68x = 6,465.96 × 3,091.62
  4. Step 4: Simplify right side
    4,684.68x = 19,990,291.26
  5. Step 5: Solve for x
    x = 19,990,291.26/4,684.68
  6. Step 6: Final answer
    x = 4,267.16

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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.