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Finding the Fourth Proportional to 5,341.32, 7,370.78 and 2,983

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Solution

The fourth proportional to 5,341.32, 7,370.78 and 2,983 is: 4,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.32 : 7,370.78 = 2,983 : x
  2. Step 2: Convert to fraction form
    5,341.32/7,370.78 = 2,983/x
  3. Step 3: Cross multiply
    5,341.32x = 7,370.78 × 2,983
  4. Step 4: Simplify right side
    5,341.32x = 21,987,036.74
  5. Step 5: Solve for x
    x = 21,987,036.74/5,341.32
  6. Step 6: Final answer
    x = 4,116.41

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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.