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Finding the Fourth Proportional to 3,262.04, 4,891.68 and 1,313.72

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Solution

The fourth proportional to 3,262.04, 4,891.68 and 1,313.72 is: 1,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.04 : 4,891.68 = 1,313.72 : x
  2. Step 2: Convert to fraction form
    3,262.04/4,891.68 = 1,313.72/x
  3. Step 3: Cross multiply
    3,262.04x = 4,891.68 × 1,313.72
  4. Step 4: Simplify right side
    3,262.04x = 6,426,297.85
  5. Step 5: Solve for x
    x = 6,426,297.85/3,262.04
  6. Step 6: Final answer
    x = 1,970.02

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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.