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Finding the Fourth Proportional to 5,065.34, 7,009.34 and 4,318.11

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Solution

The fourth proportional to 5,065.34, 7,009.34 and 4,318.11 is: 5,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.34 : 7,009.34 = 4,318.11 : x
  2. Step 2: Convert to fraction form
    5,065.34/7,009.34 = 4,318.11/x
  3. Step 3: Cross multiply
    5,065.34x = 7,009.34 × 4,318.11
  4. Step 4: Simplify right side
    5,065.34x = 30,267,079.56
  5. Step 5: Solve for x
    x = 30,267,079.56/5,065.34
  6. Step 6: Final answer
    x = 5,975.34

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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.