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Finding the Fourth Proportional to 5,370.30, 7,411.36 and 2,980.54

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Solution

The fourth proportional to 5,370.30, 7,411.36 and 2,980.54 is: 4,113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.30 : 7,411.36 = 2,980.54 : x
  2. Step 2: Convert to fraction form
    5,370.30/7,411.36 = 2,980.54/x
  3. Step 3: Cross multiply
    5,370.30x = 7,411.36 × 2,980.54
  4. Step 4: Simplify right side
    5,370.30x = 22,089,854.93
  5. Step 5: Solve for x
    x = 22,089,854.93/5,370.30
  6. Step 6: Final answer
    x = 4,113.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.