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Finding the Fourth Proportional to 3,133.83, 4,676.21 and 3,115.60

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Solution

The fourth proportional to 3,133.83, 4,676.21 and 3,115.60 is: 4,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.83 : 4,676.21 = 3,115.60 : x
  2. Step 2: Convert to fraction form
    3,133.83/4,676.21 = 3,115.60/x
  3. Step 3: Cross multiply
    3,133.83x = 4,676.21 × 3,115.60
  4. Step 4: Simplify right side
    3,133.83x = 14,569,199.88
  5. Step 5: Solve for x
    x = 14,569,199.88/3,133.83
  6. Step 6: Final answer
    x = 4,649.01

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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.