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Finding the Fourth Proportional to 6,404.76, 8,839.50 and 3,751.80

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Solution

The fourth proportional to 6,404.76, 8,839.50 and 3,751.80 is: 5,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.76 : 8,839.50 = 3,751.80 : x
  2. Step 2: Convert to fraction form
    6,404.76/8,839.50 = 3,751.80/x
  3. Step 3: Cross multiply
    6,404.76x = 8,839.50 × 3,751.80
  4. Step 4: Simplify right side
    6,404.76x = 33,164,036.10
  5. Step 5: Solve for x
    x = 33,164,036.10/6,404.76
  6. Step 6: Final answer
    x = 5,178.03

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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.