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Finding the Fourth Proportional to 6,519.39, 9,780.53 and 3,054.75

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Solution

The fourth proportional to 6,519.39, 9,780.53 and 3,054.75 is: 4,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.39 : 9,780.53 = 3,054.75 : x
  2. Step 2: Convert to fraction form
    6,519.39/9,780.53 = 3,054.75/x
  3. Step 3: Cross multiply
    6,519.39x = 9,780.53 × 3,054.75
  4. Step 4: Simplify right side
    6,519.39x = 29,877,058.74
  5. Step 5: Solve for x
    x = 29,877,058.74/6,519.39
  6. Step 6: Final answer
    x = 4,582.80

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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.