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Finding the Fourth Proportional to 3,445.40, 5,167.50 and 980.37

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Solution

The fourth proportional to 3,445.40, 5,167.50 and 980.37 is: 1,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.40 : 5,167.50 = 980.37 : x
  2. Step 2: Convert to fraction form
    3,445.40/5,167.50 = 980.37/x
  3. Step 3: Cross multiply
    3,445.40x = 5,167.50 × 980.37
  4. Step 4: Simplify right side
    3,445.40x = 5,066,058.30
  5. Step 5: Solve for x
    x = 5,066,058.30/3,445.40
  6. Step 6: Final answer
    x = 1,470.38

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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.