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Finding the Fourth Proportional to 3,775.79, 5,670.06 and 2,461.77

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Solution

The fourth proportional to 3,775.79, 5,670.06 and 2,461.77 is: 3,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.79 : 5,670.06 = 2,461.77 : x
  2. Step 2: Convert to fraction form
    3,775.79/5,670.06 = 2,461.77/x
  3. Step 3: Cross multiply
    3,775.79x = 5,670.06 × 2,461.77
  4. Step 4: Simplify right side
    3,775.79x = 13,958,383.61
  5. Step 5: Solve for x
    x = 13,958,383.61/3,775.79
  6. Step 6: Final answer
    x = 3,696.81

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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.