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Finding the Fourth Proportional to 5,193.76, 7,779.01 and 2,416.27

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Solution

The fourth proportional to 5,193.76, 7,779.01 and 2,416.27 is: 3,618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.76 : 7,779.01 = 2,416.27 : x
  2. Step 2: Convert to fraction form
    5,193.76/7,779.01 = 2,416.27/x
  3. Step 3: Cross multiply
    5,193.76x = 7,779.01 × 2,416.27
  4. Step 4: Simplify right side
    5,193.76x = 18,796,155.64
  5. Step 5: Solve for x
    x = 18,796,155.64/5,193.76
  6. Step 6: Final answer
    x = 3,618.99

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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.