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Finding the Fourth Proportional to 4,783.98, 7,176.06 and 1,497.18

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Solution

The fourth proportional to 4,783.98, 7,176.06 and 1,497.18 is: 2,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.98 : 7,176.06 = 1,497.18 : x
  2. Step 2: Convert to fraction form
    4,783.98/7,176.06 = 1,497.18/x
  3. Step 3: Cross multiply
    4,783.98x = 7,176.06 × 1,497.18
  4. Step 4: Simplify right side
    4,783.98x = 10,743,853.51
  5. Step 5: Solve for x
    x = 10,743,853.51/4,783.98
  6. Step 6: Final answer
    x = 2,245.80

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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.