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Finding the Fourth Proportional to 4,188.96, 5,775.12 and 3,478.26

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Solution

The fourth proportional to 4,188.96, 5,775.12 and 3,478.26 is: 4,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.96 : 5,775.12 = 3,478.26 : x
  2. Step 2: Convert to fraction form
    4,188.96/5,775.12 = 3,478.26/x
  3. Step 3: Cross multiply
    4,188.96x = 5,775.12 × 3,478.26
  4. Step 4: Simplify right side
    4,188.96x = 20,087,368.89
  5. Step 5: Solve for x
    x = 20,087,368.89/4,188.96
  6. Step 6: Final answer
    x = 4,795.31

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