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Finding the Fourth Proportional to 4,699.37, 7,052.25 and 2,509.67

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Solution

The fourth proportional to 4,699.37, 7,052.25 and 2,509.67 is: 3,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.37 : 7,052.25 = 2,509.67 : x
  2. Step 2: Convert to fraction form
    4,699.37/7,052.25 = 2,509.67/x
  3. Step 3: Cross multiply
    4,699.37x = 7,052.25 × 2,509.67
  4. Step 4: Simplify right side
    4,699.37x = 17,698,820.26
  5. Step 5: Solve for x
    x = 17,698,820.26/4,699.37
  6. Step 6: Final answer
    x = 3,766.21

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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.