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Finding the Fourth Proportional to 3,313.71, 4,971.17 and 1,364.85

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Solution

The fourth proportional to 3,313.71, 4,971.17 and 1,364.85 is: 2,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.71 : 4,971.17 = 1,364.85 : x
  2. Step 2: Convert to fraction form
    3,313.71/4,971.17 = 1,364.85/x
  3. Step 3: Cross multiply
    3,313.71x = 4,971.17 × 1,364.85
  4. Step 4: Simplify right side
    3,313.71x = 6,784,894.55
  5. Step 5: Solve for x
    x = 6,784,894.55/3,313.71
  6. Step 6: Final answer
    x = 2,047.52

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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.