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Finding the Fourth Proportional to 5,756.89, 8,634.91 and 3,283.96

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Solution

The fourth proportional to 5,756.89, 8,634.91 and 3,283.96 is: 4,925.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.89 : 8,634.91 = 3,283.96 : x
  2. Step 2: Convert to fraction form
    5,756.89/8,634.91 = 3,283.96/x
  3. Step 3: Cross multiply
    5,756.89x = 8,634.91 × 3,283.96
  4. Step 4: Simplify right side
    5,756.89x = 28,356,699.04
  5. Step 5: Solve for x
    x = 28,356,699.04/5,756.89
  6. Step 6: Final answer
    x = 4,925.70

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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.