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Finding the Fourth Proportional to 4,236, 5,845.68 and 2,373

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Solution

The fourth proportional to 4,236, 5,845.68 and 2,373 is: 3,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236 : 5,845.68 = 2,373 : x
  2. Step 2: Convert to fraction form
    4,236/5,845.68 = 2,373/x
  3. Step 3: Cross multiply
    4,236x = 5,845.68 × 2,373
  4. Step 4: Simplify right side
    4,236x = 13,871,798.64
  5. Step 5: Solve for x
    x = 13,871,798.64/4,236
  6. Step 6: Final answer
    x = 3,274.74

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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.