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Finding the Fourth Proportional to 4,737, 7,107.66 and 1,815.06

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Solution

The fourth proportional to 4,737, 7,107.66 and 1,815.06 is: 2,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737 : 7,107.66 = 1,815.06 : x
  2. Step 2: Convert to fraction form
    4,737/7,107.66 = 1,815.06/x
  3. Step 3: Cross multiply
    4,737x = 7,107.66 × 1,815.06
  4. Step 4: Simplify right side
    4,737x = 12,900,829.36
  5. Step 5: Solve for x
    x = 12,900,829.36/4,737
  6. Step 6: Final answer
    x = 2,723.42

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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.