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Finding the Fourth Proportional to 4,783.74, 7,178.40 and 2,010.21

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Solution

The fourth proportional to 4,783.74, 7,178.40 and 2,010.21 is: 3,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.74 : 7,178.40 = 2,010.21 : x
  2. Step 2: Convert to fraction form
    4,783.74/7,178.40 = 2,010.21/x
  3. Step 3: Cross multiply
    4,783.74x = 7,178.40 × 2,010.21
  4. Step 4: Simplify right side
    4,783.74x = 14,430,091.46
  5. Step 5: Solve for x
    x = 14,430,091.46/4,783.74
  6. Step 6: Final answer
    x = 3,016.49

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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.