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Finding the Fourth Proportional to 4,675.86, 6,438.89 and 4,178.32

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Solution

The fourth proportional to 4,675.86, 6,438.89 and 4,178.32 is: 5,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.86 : 6,438.89 = 4,178.32 : x
  2. Step 2: Convert to fraction form
    4,675.86/6,438.89 = 4,178.32/x
  3. Step 3: Cross multiply
    4,675.86x = 6,438.89 × 4,178.32
  4. Step 4: Simplify right side
    4,675.86x = 26,903,737.21
  5. Step 5: Solve for x
    x = 26,903,737.21/4,675.86
  6. Step 6: Final answer
    x = 5,753.75

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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.