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Finding the Fourth Proportional to 5,262.64, 7,893.94 and 1,313.88

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Solution

The fourth proportional to 5,262.64, 7,893.94 and 1,313.88 is: 1,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.64 : 7,893.94 = 1,313.88 : x
  2. Step 2: Convert to fraction form
    5,262.64/7,893.94 = 1,313.88/x
  3. Step 3: Cross multiply
    5,262.64x = 7,893.94 × 1,313.88
  4. Step 4: Simplify right side
    5,262.64x = 10,371,689.89
  5. Step 5: Solve for x
    x = 10,371,689.89/5,262.64
  6. Step 6: Final answer
    x = 1,970.82

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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.