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Finding the Fourth Proportional to 4,077.84, 5,627.99 and 2,309.45

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Solution

The fourth proportional to 4,077.84, 5,627.99 and 2,309.45 is: 3,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.84 : 5,627.99 = 2,309.45 : x
  2. Step 2: Convert to fraction form
    4,077.84/5,627.99 = 2,309.45/x
  3. Step 3: Cross multiply
    4,077.84x = 5,627.99 × 2,309.45
  4. Step 4: Simplify right side
    4,077.84x = 12,997,566.13
  5. Step 5: Solve for x
    x = 12,997,566.13/4,077.84
  6. Step 6: Final answer
    x = 3,187.36

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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.