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Finding the Fourth Proportional to 4,851.47, 7,277.19 and 3,207.65

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Solution

The fourth proportional to 4,851.47, 7,277.19 and 3,207.65 is: 4,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.47 : 7,277.19 = 3,207.65 : x
  2. Step 2: Convert to fraction form
    4,851.47/7,277.19 = 3,207.65/x
  3. Step 3: Cross multiply
    4,851.47x = 7,277.19 × 3,207.65
  4. Step 4: Simplify right side
    4,851.47x = 23,342,678.50
  5. Step 5: Solve for x
    x = 23,342,678.50/4,851.47
  6. Step 6: Final answer
    x = 4,811.47

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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.