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Finding the Fourth Proportional to 4,797.70, 7,197.53 and 1,835.93

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Solution

The fourth proportional to 4,797.70, 7,197.53 and 1,835.93 is: 2,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.70 : 7,197.53 = 1,835.93 : x
  2. Step 2: Convert to fraction form
    4,797.70/7,197.53 = 1,835.93/x
  3. Step 3: Cross multiply
    4,797.70x = 7,197.53 × 1,835.93
  4. Step 4: Simplify right side
    4,797.70x = 13,214,152.07
  5. Step 5: Solve for x
    x = 13,214,152.07/4,797.70
  6. Step 6: Final answer
    x = 2,754.27

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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.