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Finding the Fourth Proportional to 3,652.96, 5,477.82 and 2,557.84

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Solution

The fourth proportional to 3,652.96, 5,477.82 and 2,557.84 is: 3,835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.96 : 5,477.82 = 2,557.84 : x
  2. Step 2: Convert to fraction form
    3,652.96/5,477.82 = 2,557.84/x
  3. Step 3: Cross multiply
    3,652.96x = 5,477.82 × 2,557.84
  4. Step 4: Simplify right side
    3,652.96x = 14,011,387.11
  5. Step 5: Solve for x
    x = 14,011,387.11/3,652.96
  6. Step 6: Final answer
    x = 3,835.63

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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.