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Finding the Fourth Proportional to 5,176.68, 7,751.78 and 3,416.36

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Solution

The fourth proportional to 5,176.68, 7,751.78 and 3,416.36 is: 5,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.68 : 7,751.78 = 3,416.36 : x
  2. Step 2: Convert to fraction form
    5,176.68/7,751.78 = 3,416.36/x
  3. Step 3: Cross multiply
    5,176.68x = 7,751.78 × 3,416.36
  4. Step 4: Simplify right side
    5,176.68x = 26,482,871.12
  5. Step 5: Solve for x
    x = 26,482,871.12/5,176.68
  6. Step 6: Final answer
    x = 5,115.80

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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.