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Finding the Fourth Proportional to 4,214.68, 5,800.65 and 3,093.84

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Solution

The fourth proportional to 4,214.68, 5,800.65 and 3,093.84 is: 4,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.68 : 5,800.65 = 3,093.84 : x
  2. Step 2: Convert to fraction form
    4,214.68/5,800.65 = 3,093.84/x
  3. Step 3: Cross multiply
    4,214.68x = 5,800.65 × 3,093.84
  4. Step 4: Simplify right side
    4,214.68x = 17,946,305.23
  5. Step 5: Solve for x
    x = 17,946,305.23/4,214.68
  6. Step 6: Final answer
    x = 4,258.05

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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.