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Finding the Fourth Proportional to 3,465.35, 4,771.10 and 2,804.39

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Solution

The fourth proportional to 3,465.35, 4,771.10 and 2,804.39 is: 3,861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.35 : 4,771.10 = 2,804.39 : x
  2. Step 2: Convert to fraction form
    3,465.35/4,771.10 = 2,804.39/x
  3. Step 3: Cross multiply
    3,465.35x = 4,771.10 × 2,804.39
  4. Step 4: Simplify right side
    3,465.35x = 13,380,025.13
  5. Step 5: Solve for x
    x = 13,380,025.13/3,465.35
  6. Step 6: Final answer
    x = 3,861.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.