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Finding the Fourth Proportional to 3,263.28, 4,894.54 and 1,071.47

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Solution

The fourth proportional to 3,263.28, 4,894.54 and 1,071.47 is: 1,607.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.28 : 4,894.54 = 1,071.47 : x
  2. Step 2: Convert to fraction form
    3,263.28/4,894.54 = 1,071.47/x
  3. Step 3: Cross multiply
    3,263.28x = 4,894.54 × 1,071.47
  4. Step 4: Simplify right side
    3,263.28x = 5,244,343.98
  5. Step 5: Solve for x
    x = 5,244,343.98/3,263.28
  6. Step 6: Final answer
    x = 1,607.08

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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.