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Finding the Fourth Proportional to 4,803.57, 7,207.10 and 1,684.44

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Solution

The fourth proportional to 4,803.57, 7,207.10 and 1,684.44 is: 2,527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.57 : 7,207.10 = 1,684.44 : x
  2. Step 2: Convert to fraction form
    4,803.57/7,207.10 = 1,684.44/x
  3. Step 3: Cross multiply
    4,803.57x = 7,207.10 × 1,684.44
  4. Step 4: Simplify right side
    4,803.57x = 12,139,919.10
  5. Step 5: Solve for x
    x = 12,139,919.10/4,803.57
  6. Step 6: Final answer
    x = 2,527.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.