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Finding the Fourth Proportional to 5,370.40, 7,411.16 and 3,012.56

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Solution

The fourth proportional to 5,370.40, 7,411.16 and 3,012.56 is: 4,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.40 : 7,411.16 = 3,012.56 : x
  2. Step 2: Convert to fraction form
    5,370.40/7,411.16 = 3,012.56/x
  3. Step 3: Cross multiply
    5,370.40x = 7,411.16 × 3,012.56
  4. Step 4: Simplify right side
    5,370.40x = 22,326,564.17
  5. Step 5: Solve for x
    x = 22,326,564.17/5,370.40
  6. Step 6: Final answer
    x = 4,157.34

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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.