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Finding the Fourth Proportional to 4,737.84, 7,100.28 and 3,438.96

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Solution

The fourth proportional to 4,737.84, 7,100.28 and 3,438.96 is: 5,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.84 : 7,100.28 = 3,438.96 : x
  2. Step 2: Convert to fraction form
    4,737.84/7,100.28 = 3,438.96/x
  3. Step 3: Cross multiply
    4,737.84x = 7,100.28 × 3,438.96
  4. Step 4: Simplify right side
    4,737.84x = 24,417,578.91
  5. Step 5: Solve for x
    x = 24,417,578.91/4,737.84
  6. Step 6: Final answer
    x = 5,153.74

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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.