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Finding the Fourth Proportional to 5,117.87, 7,676.80 and 1,421.03

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Solution

The fourth proportional to 5,117.87, 7,676.80 and 1,421.03 is: 2,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.87 : 7,676.80 = 1,421.03 : x
  2. Step 2: Convert to fraction form
    5,117.87/7,676.80 = 1,421.03/x
  3. Step 3: Cross multiply
    5,117.87x = 7,676.80 × 1,421.03
  4. Step 4: Simplify right side
    5,117.87x = 10,908,924.72
  5. Step 5: Solve for x
    x = 10,908,924.72/5,117.87
  6. Step 6: Final answer
    x = 2,131.54

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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.