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Finding the Fourth Proportional to 3,478.69, 5,218.71 and 1,504.32

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Solution

The fourth proportional to 3,478.69, 5,218.71 and 1,504.32 is: 2,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.69 : 5,218.71 = 1,504.32 : x
  2. Step 2: Convert to fraction form
    3,478.69/5,218.71 = 1,504.32/x
  3. Step 3: Cross multiply
    3,478.69x = 5,218.71 × 1,504.32
  4. Step 4: Simplify right side
    3,478.69x = 7,850,609.83
  5. Step 5: Solve for x
    x = 7,850,609.83/3,478.69
  6. Step 6: Final answer
    x = 2,256.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.