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Finding the Fourth Proportional to 3,828.61, 5,742.96 and 1,055.31

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Solution

The fourth proportional to 3,828.61, 5,742.96 and 1,055.31 is: 1,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.61 : 5,742.96 = 1,055.31 : x
  2. Step 2: Convert to fraction form
    3,828.61/5,742.96 = 1,055.31/x
  3. Step 3: Cross multiply
    3,828.61x = 5,742.96 × 1,055.31
  4. Step 4: Simplify right side
    3,828.61x = 6,060,603.12
  5. Step 5: Solve for x
    x = 6,060,603.12/3,828.61
  6. Step 6: Final answer
    x = 1,582.98

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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.