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Finding the Fourth Proportional to 5,370.75, 7,411.88 and 2,980.96

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Solution

The fourth proportional to 5,370.75, 7,411.88 and 2,980.96 is: 4,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.75 : 7,411.88 = 2,980.96 : x
  2. Step 2: Convert to fraction form
    5,370.75/7,411.88 = 2,980.96/x
  3. Step 3: Cross multiply
    5,370.75x = 7,411.88 × 2,980.96
  4. Step 4: Simplify right side
    5,370.75x = 22,094,506.73
  5. Step 5: Solve for x
    x = 22,094,506.73/5,370.75
  6. Step 6: Final answer
    x = 4,113.86

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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.