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Finding the Fourth Proportional to 5,783.55, 7,976.66 and 4,190.42

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Solution

The fourth proportional to 5,783.55, 7,976.66 and 4,190.42 is: 5,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.55 : 7,976.66 = 4,190.42 : x
  2. Step 2: Convert to fraction form
    5,783.55/7,976.66 = 4,190.42/x
  3. Step 3: Cross multiply
    5,783.55x = 7,976.66 × 4,190.42
  4. Step 4: Simplify right side
    5,783.55x = 33,425,494.76
  5. Step 5: Solve for x
    x = 33,425,494.76/5,783.55
  6. Step 6: Final answer
    x = 5,779.41

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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.