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Finding the Fourth Proportional to 4,803.57, 7,206.29 and 1,684.47

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Solution

The fourth proportional to 4,803.57, 7,206.29 and 1,684.47 is: 2,527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.57 : 7,206.29 = 1,684.47 : x
  2. Step 2: Convert to fraction form
    4,803.57/7,206.29 = 1,684.47/x
  3. Step 3: Cross multiply
    4,803.57x = 7,206.29 × 1,684.47
  4. Step 4: Simplify right side
    4,803.57x = 12,138,770.89
  5. Step 5: Solve for x
    x = 12,138,770.89/4,803.57
  6. Step 6: Final answer
    x = 2,527.03

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Why These Related Problems?

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