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Finding the Fourth Proportional to 5,065.53, 7,595 and 2,103.16

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Solution

The fourth proportional to 5,065.53, 7,595 and 2,103.16 is: 3,153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.53 : 7,595 = 2,103.16 : x
  2. Step 2: Convert to fraction form
    5,065.53/7,595 = 2,103.16/x
  3. Step 3: Cross multiply
    5,065.53x = 7,595 × 2,103.16
  4. Step 4: Simplify right side
    5,065.53x = 15,973,500.20
  5. Step 5: Solve for x
    x = 15,973,500.20/5,065.53
  6. Step 6: Final answer
    x = 3,153.37

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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.