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Finding the Fourth Proportional to 4,286, 5,914.64 and 2,423

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Solution

The fourth proportional to 4,286, 5,914.64 and 2,423 is: 3,343.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286 : 5,914.64 = 2,423 : x
  2. Step 2: Convert to fraction form
    4,286/5,914.64 = 2,423/x
  3. Step 3: Cross multiply
    4,286x = 5,914.64 × 2,423
  4. Step 4: Simplify right side
    4,286x = 14,331,172.72
  5. Step 5: Solve for x
    x = 14,331,172.72/4,286
  6. Step 6: Final answer
    x = 3,343.72

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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.