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Finding the Fourth Proportional to 3,201.10, 4,805.32 and 3,018.86

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Solution

The fourth proportional to 3,201.10, 4,805.32 and 3,018.86 is: 4,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.10 : 4,805.32 = 3,018.86 : x
  2. Step 2: Convert to fraction form
    3,201.10/4,805.32 = 3,018.86/x
  3. Step 3: Cross multiply
    3,201.10x = 4,805.32 × 3,018.86
  4. Step 4: Simplify right side
    3,201.10x = 14,506,588.34
  5. Step 5: Solve for x
    x = 14,506,588.34/3,201.10
  6. Step 6: Final answer
    x = 4,531.75

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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.