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Finding the Fourth Proportional to 4,477.55, 6,178.04 and 2,709.12

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Solution

The fourth proportional to 4,477.55, 6,178.04 and 2,709.12 is: 3,737.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.55 : 6,178.04 = 2,709.12 : x
  2. Step 2: Convert to fraction form
    4,477.55/6,178.04 = 2,709.12/x
  3. Step 3: Cross multiply
    4,477.55x = 6,178.04 × 2,709.12
  4. Step 4: Simplify right side
    4,477.55x = 16,737,051.72
  5. Step 5: Solve for x
    x = 16,737,051.72/4,477.55
  6. Step 6: Final answer
    x = 3,737.99

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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.