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Finding the Fourth Proportional to 6,460.48, 9,675.78 and 3,857.68

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Solution

The fourth proportional to 6,460.48, 9,675.78 and 3,857.68 is: 5,777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.48 : 9,675.78 = 3,857.68 : x
  2. Step 2: Convert to fraction form
    6,460.48/9,675.78 = 3,857.68/x
  3. Step 3: Cross multiply
    6,460.48x = 9,675.78 × 3,857.68
  4. Step 4: Simplify right side
    6,460.48x = 37,326,062.99
  5. Step 5: Solve for x
    x = 37,326,062.99/6,460.48
  6. Step 6: Final answer
    x = 5,777.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.