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Finding the Fourth Proportional to 5,370.96, 7,411.72 and 3,013.16

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Solution

The fourth proportional to 5,370.96, 7,411.72 and 3,013.16 is: 4,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.96 : 7,411.72 = 3,013.16 : x
  2. Step 2: Convert to fraction form
    5,370.96/7,411.72 = 3,013.16/x
  3. Step 3: Cross multiply
    5,370.96x = 7,411.72 × 3,013.16
  4. Step 4: Simplify right side
    5,370.96x = 22,332,698.24
  5. Step 5: Solve for x
    x = 22,332,698.24/5,370.96
  6. Step 6: Final answer
    x = 4,158.05

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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.