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Finding the Fourth Proportional to 4,706.88, 7,025.94 and 4,364.25

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Solution

The fourth proportional to 4,706.88, 7,025.94 and 4,364.25 is: 6,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.88 : 7,025.94 = 4,364.25 : x
  2. Step 2: Convert to fraction form
    4,706.88/7,025.94 = 4,364.25/x
  3. Step 3: Cross multiply
    4,706.88x = 7,025.94 × 4,364.25
  4. Step 4: Simplify right side
    4,706.88x = 30,662,958.65
  5. Step 5: Solve for x
    x = 30,662,958.65/4,706.88
  6. Step 6: Final answer
    x = 6,514.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.