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Finding the Fourth Proportional to 5,630.96, 7,771.38 and 4,685.08

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Solution

The fourth proportional to 5,630.96, 7,771.38 and 4,685.08 is: 6,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.96 : 7,771.38 = 4,685.08 : x
  2. Step 2: Convert to fraction form
    5,630.96/7,771.38 = 4,685.08/x
  3. Step 3: Cross multiply
    5,630.96x = 7,771.38 × 4,685.08
  4. Step 4: Simplify right side
    5,630.96x = 36,409,474.73
  5. Step 5: Solve for x
    x = 36,409,474.73/5,630.96
  6. Step 6: Final answer
    x = 6,465.95

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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.