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Finding the Fourth Proportional to 5,233.70, 7,834.35 and 3,035.90

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Solution

The fourth proportional to 5,233.70, 7,834.35 and 3,035.90 is: 4,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.70 : 7,834.35 = 3,035.90 : x
  2. Step 2: Convert to fraction form
    5,233.70/7,834.35 = 3,035.90/x
  3. Step 3: Cross multiply
    5,233.70x = 7,834.35 × 3,035.90
  4. Step 4: Simplify right side
    5,233.70x = 23,784,303.17
  5. Step 5: Solve for x
    x = 23,784,303.17/5,233.70
  6. Step 6: Final answer
    x = 4,544.45

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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.