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Finding the Fourth Proportional to 4,597.65, 6,894.30 and 3,212.55

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Solution

The fourth proportional to 4,597.65, 6,894.30 and 3,212.55 is: 4,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.65 : 6,894.30 = 3,212.55 : x
  2. Step 2: Convert to fraction form
    4,597.65/6,894.30 = 3,212.55/x
  3. Step 3: Cross multiply
    4,597.65x = 6,894.30 × 3,212.55
  4. Step 4: Simplify right side
    4,597.65x = 22,148,283.47
  5. Step 5: Solve for x
    x = 22,148,283.47/4,597.65
  6. Step 6: Final answer
    x = 4,817.31

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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.