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Finding the Fourth Proportional to 5,078.85, 7,007.54 and 3,190.74

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Solution

The fourth proportional to 5,078.85, 7,007.54 and 3,190.74 is: 4,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.85 : 7,007.54 = 3,190.74 : x
  2. Step 2: Convert to fraction form
    5,078.85/7,007.54 = 3,190.74/x
  3. Step 3: Cross multiply
    5,078.85x = 7,007.54 × 3,190.74
  4. Step 4: Simplify right side
    5,078.85x = 22,359,211.12
  5. Step 5: Solve for x
    x = 22,359,211.12/5,078.85
  6. Step 6: Final answer
    x = 4,402.42

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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.