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Finding the Fourth Proportional to 6,078.53, 8,390.44 and 3,780.72

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Solution

The fourth proportional to 6,078.53, 8,390.44 and 3,780.72 is: 5,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.53 : 8,390.44 = 3,780.72 : x
  2. Step 2: Convert to fraction form
    6,078.53/8,390.44 = 3,780.72/x
  3. Step 3: Cross multiply
    6,078.53x = 8,390.44 × 3,780.72
  4. Step 4: Simplify right side
    6,078.53x = 31,721,904.32
  5. Step 5: Solve for x
    x = 31,721,904.32/6,078.53
  6. Step 6: Final answer
    x = 5,218.68

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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.