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Finding the Fourth Proportional to 3,855.47, 5,783.18 and 933.77

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Solution

The fourth proportional to 3,855.47, 5,783.18 and 933.77 is: 1,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.47 : 5,783.18 = 933.77 : x
  2. Step 2: Convert to fraction form
    3,855.47/5,783.18 = 933.77/x
  3. Step 3: Cross multiply
    3,855.47x = 5,783.18 × 933.77
  4. Step 4: Simplify right side
    3,855.47x = 5,400,133.41
  5. Step 5: Solve for x
    x = 5,400,133.41/3,855.47
  6. Step 6: Final answer
    x = 1,400.64

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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.