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Finding the Fourth Proportional to 4,286.68, 5,916 and 2,607.69

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Solution

The fourth proportional to 4,286.68, 5,916 and 2,607.69 is: 3,598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.68 : 5,916 = 2,607.69 : x
  2. Step 2: Convert to fraction form
    4,286.68/5,916 = 2,607.69/x
  3. Step 3: Cross multiply
    4,286.68x = 5,916 × 2,607.69
  4. Step 4: Simplify right side
    4,286.68x = 15,427,094.04
  5. Step 5: Solve for x
    x = 15,427,094.04/4,286.68
  6. Step 6: Final answer
    x = 3,598.84

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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.