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Finding the Fourth Proportional to 5,183.90, 7,776 and 2,065.40

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Solution

The fourth proportional to 5,183.90, 7,776 and 2,065.40 is: 3,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.90 : 7,776 = 2,065.40 : x
  2. Step 2: Convert to fraction form
    5,183.90/7,776 = 2,065.40/x
  3. Step 3: Cross multiply
    5,183.90x = 7,776 × 2,065.40
  4. Step 4: Simplify right side
    5,183.90x = 16,060,550.40
  5. Step 5: Solve for x
    x = 16,060,550.40/5,183.90
  6. Step 6: Final answer
    x = 3,098.16

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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.