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Finding the Fourth Proportional to 4,737.60, 7,089.24 and 2,889.12

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Solution

The fourth proportional to 4,737.60, 7,089.24 and 2,889.12 is: 4,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.60 : 7,089.24 = 2,889.12 : x
  2. Step 2: Convert to fraction form
    4,737.60/7,089.24 = 2,889.12/x
  3. Step 3: Cross multiply
    4,737.60x = 7,089.24 × 2,889.12
  4. Step 4: Simplify right side
    4,737.60x = 20,481,665.07
  5. Step 5: Solve for x
    x = 20,481,665.07/4,737.60
  6. Step 6: Final answer
    x = 4,323.22

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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.