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Finding the Fourth Proportional to 4,704.02, 6,492.14 and 2,815.60

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Solution

The fourth proportional to 4,704.02, 6,492.14 and 2,815.60 is: 3,885.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.02 : 6,492.14 = 2,815.60 : x
  2. Step 2: Convert to fraction form
    4,704.02/6,492.14 = 2,815.60/x
  3. Step 3: Cross multiply
    4,704.02x = 6,492.14 × 2,815.60
  4. Step 4: Simplify right side
    4,704.02x = 18,279,269.38
  5. Step 5: Solve for x
    x = 18,279,269.38/4,704.02
  6. Step 6: Final answer
    x = 3,885.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.