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Finding the Fourth Proportional to 4,762.35, 7,168.36 and 4,309.56

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Solution

The fourth proportional to 4,762.35, 7,168.36 and 4,309.56 is: 6,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.35 : 7,168.36 = 4,309.56 : x
  2. Step 2: Convert to fraction form
    4,762.35/7,168.36 = 4,309.56/x
  3. Step 3: Cross multiply
    4,762.35x = 7,168.36 × 4,309.56
  4. Step 4: Simplify right side
    4,762.35x = 30,892,477.52
  5. Step 5: Solve for x
    x = 30,892,477.52/4,762.35
  6. Step 6: Final answer
    x = 6,486.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.