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Finding the Fourth Proportional to 3,596, 4,962.48 and 2,492.64

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Solution

The fourth proportional to 3,596, 4,962.48 and 2,492.64 is: 3,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596 : 4,962.48 = 2,492.64 : x
  2. Step 2: Convert to fraction form
    3,596/4,962.48 = 2,492.64/x
  3. Step 3: Cross multiply
    3,596x = 4,962.48 × 2,492.64
  4. Step 4: Simplify right side
    3,596x = 12,369,676.15
  5. Step 5: Solve for x
    x = 12,369,676.15/3,596
  6. Step 6: Final answer
    x = 3,439.84

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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.