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Finding the Fourth Proportional to 3,830.00, 5,745.02 and 1,056.81

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Solution

The fourth proportional to 3,830.00, 5,745.02 and 1,056.81 is: 1,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.00 : 5,745.02 = 1,056.81 : x
  2. Step 2: Convert to fraction form
    3,830.00/5,745.02 = 1,056.81/x
  3. Step 3: Cross multiply
    3,830.00x = 5,745.02 × 1,056.81
  4. Step 4: Simplify right side
    3,830.00x = 6,071,389.30
  5. Step 5: Solve for x
    x = 6,071,389.30/3,830.00
  6. Step 6: Final answer
    x = 1,585.22

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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.