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Finding the Fourth Proportional to 3,783.02, 5,649.02 and 3,091.05

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Solution

The fourth proportional to 3,783.02, 5,649.02 and 3,091.05 is: 4,615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.02 : 5,649.02 = 3,091.05 : x
  2. Step 2: Convert to fraction form
    3,783.02/5,649.02 = 3,091.05/x
  3. Step 3: Cross multiply
    3,783.02x = 5,649.02 × 3,091.05
  4. Step 4: Simplify right side
    3,783.02x = 17,461,403.27
  5. Step 5: Solve for x
    x = 17,461,403.27/3,783.02
  6. Step 6: Final answer
    x = 4,615.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.