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Finding the Fourth Proportional to 4,729.36, 6,526.52 and 2,842

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Solution

The fourth proportional to 4,729.36, 6,526.52 and 2,842 is: 3,921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.36 : 6,526.52 = 2,842 : x
  2. Step 2: Convert to fraction form
    4,729.36/6,526.52 = 2,842/x
  3. Step 3: Cross multiply
    4,729.36x = 6,526.52 × 2,842
  4. Step 4: Simplify right side
    4,729.36x = 18,548,369.84
  5. Step 5: Solve for x
    x = 18,548,369.84/4,729.36
  6. Step 6: Final answer
    x = 3,921.96

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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.