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Finding the Fourth Proportional to 5,117.94, 7,676.64 and 2,520

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Solution

The fourth proportional to 5,117.94, 7,676.64 and 2,520 is: 3,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.94 : 7,676.64 = 2,520 : x
  2. Step 2: Convert to fraction form
    5,117.94/7,676.64 = 2,520/x
  3. Step 3: Cross multiply
    5,117.94x = 7,676.64 × 2,520
  4. Step 4: Simplify right side
    5,117.94x = 19,345,132.80
  5. Step 5: Solve for x
    x = 19,345,132.80/5,117.94
  6. Step 6: Final answer
    x = 3,779.87

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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.