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Finding the Fourth Proportional to 4,829.35, 7,232.20 and 4,361.87

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Solution

The fourth proportional to 4,829.35, 7,232.20 and 4,361.87 is: 6,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.35 : 7,232.20 = 4,361.87 : x
  2. Step 2: Convert to fraction form
    4,829.35/7,232.20 = 4,361.87/x
  3. Step 3: Cross multiply
    4,829.35x = 7,232.20 × 4,361.87
  4. Step 4: Simplify right side
    4,829.35x = 31,545,916.21
  5. Step 5: Solve for x
    x = 31,545,916.21/4,829.35
  6. Step 6: Final answer
    x = 6,532.12

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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.