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Finding the Fourth Proportional to 5,065.34, 7,599.83 and 2,145.69

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Solution

The fourth proportional to 5,065.34, 7,599.83 and 2,145.69 is: 3,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.34 : 7,599.83 = 2,145.69 : x
  2. Step 2: Convert to fraction form
    5,065.34/7,599.83 = 2,145.69/x
  3. Step 3: Cross multiply
    5,065.34x = 7,599.83 × 2,145.69
  4. Step 4: Simplify right side
    5,065.34x = 16,306,868.50
  5. Step 5: Solve for x
    x = 16,306,868.50/5,065.34
  6. Step 6: Final answer
    x = 3,219.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.