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Finding the Fourth Proportional to 4,682.52, 6,460.23 and 3,003.78

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Solution

The fourth proportional to 4,682.52, 6,460.23 and 3,003.78 is: 4,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.52 : 6,460.23 = 3,003.78 : x
  2. Step 2: Convert to fraction form
    4,682.52/6,460.23 = 3,003.78/x
  3. Step 3: Cross multiply
    4,682.52x = 6,460.23 × 3,003.78
  4. Step 4: Simplify right side
    4,682.52x = 19,405,109.67
  5. Step 5: Solve for x
    x = 19,405,109.67/4,682.52
  6. Step 6: Final answer
    x = 4,144.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.