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Finding the Fourth Proportional to 3,875.77, 5,349.41 and 2,549.60

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Solution

The fourth proportional to 3,875.77, 5,349.41 and 2,549.60 is: 3,519.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.77 : 5,349.41 = 2,549.60 : x
  2. Step 2: Convert to fraction form
    3,875.77/5,349.41 = 2,549.60/x
  3. Step 3: Cross multiply
    3,875.77x = 5,349.41 × 2,549.60
  4. Step 4: Simplify right side
    3,875.77x = 13,638,842.99
  5. Step 5: Solve for x
    x = 13,638,842.99/3,875.77
  6. Step 6: Final answer
    x = 3,519.01

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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.