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Finding the Fourth Proportional to 6,154.80, 8,497.20 and 4,894.08

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Solution

The fourth proportional to 6,154.80, 8,497.20 and 4,894.08 is: 6,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.80 : 8,497.20 = 4,894.08 : x
  2. Step 2: Convert to fraction form
    6,154.80/8,497.20 = 4,894.08/x
  3. Step 3: Cross multiply
    6,154.80x = 8,497.20 × 4,894.08
  4. Step 4: Simplify right side
    6,154.80x = 41,585,976.58
  5. Step 5: Solve for x
    x = 41,585,976.58/6,154.80
  6. Step 6: Final answer
    x = 6,756.67

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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.