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Finding the Fourth Proportional to 4,432.57, 6,636.86 and 2,968.57

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Solution

The fourth proportional to 4,432.57, 6,636.86 and 2,968.57 is: 4,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.57 : 6,636.86 = 2,968.57 : x
  2. Step 2: Convert to fraction form
    4,432.57/6,636.86 = 2,968.57/x
  3. Step 3: Cross multiply
    4,432.57x = 6,636.86 × 2,968.57
  4. Step 4: Simplify right side
    4,432.57x = 19,701,968.65
  5. Step 5: Solve for x
    x = 19,701,968.65/4,432.57
  6. Step 6: Final answer
    x = 4,444.82

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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.