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Finding the Fourth Proportional to 5,232.51, 7,849.86 and 4,709.70

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Solution

The fourth proportional to 5,232.51, 7,849.86 and 4,709.70 is: 7,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.51 : 7,849.86 = 4,709.70 : x
  2. Step 2: Convert to fraction form
    5,232.51/7,849.86 = 4,709.70/x
  3. Step 3: Cross multiply
    5,232.51x = 7,849.86 × 4,709.70
  4. Step 4: Simplify right side
    5,232.51x = 36,970,485.64
  5. Step 5: Solve for x
    x = 36,970,485.64/5,232.51
  6. Step 6: Final answer
    x = 7,065.54

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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.