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Finding the Fourth Proportional to 3,777.35, 5,211.32 and 2,784.99

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Solution

The fourth proportional to 3,777.35, 5,211.32 and 2,784.99 is: 3,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.35 : 5,211.32 = 2,784.99 : x
  2. Step 2: Convert to fraction form
    3,777.35/5,211.32 = 2,784.99/x
  3. Step 3: Cross multiply
    3,777.35x = 5,211.32 × 2,784.99
  4. Step 4: Simplify right side
    3,777.35x = 14,513,460.16
  5. Step 5: Solve for x
    x = 14,513,460.16/3,777.35
  6. Step 6: Final answer
    x = 3,842.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.