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Finding the Fourth Proportional to 4,970.62, 7,456.91 and 1,683.64

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Solution

The fourth proportional to 4,970.62, 7,456.91 and 1,683.64 is: 2,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.62 : 7,456.91 = 1,683.64 : x
  2. Step 2: Convert to fraction form
    4,970.62/7,456.91 = 1,683.64/x
  3. Step 3: Cross multiply
    4,970.62x = 7,456.91 × 1,683.64
  4. Step 4: Simplify right side
    4,970.62x = 12,554,720.38
  5. Step 5: Solve for x
    x = 12,554,720.38/4,970.62
  6. Step 6: Final answer
    x = 2,525.79

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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.