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Finding the Fourth Proportional to 3,842.93, 5,304.33 and 2,271.93

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Solution

The fourth proportional to 3,842.93, 5,304.33 and 2,271.93 is: 3,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.93 : 5,304.33 = 2,271.93 : x
  2. Step 2: Convert to fraction form
    3,842.93/5,304.33 = 2,271.93/x
  3. Step 3: Cross multiply
    3,842.93x = 5,304.33 × 2,271.93
  4. Step 4: Simplify right side
    3,842.93x = 12,051,066.46
  5. Step 5: Solve for x
    x = 12,051,066.46/3,842.93
  6. Step 6: Final answer
    x = 3,135.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.