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Finding the Fourth Proportional to 5,714.65, 8,569.87 and 1,965.67

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Solution

The fourth proportional to 5,714.65, 8,569.87 and 1,965.67 is: 2,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.65 : 8,569.87 = 1,965.67 : x
  2. Step 2: Convert to fraction form
    5,714.65/8,569.87 = 1,965.67/x
  3. Step 3: Cross multiply
    5,714.65x = 8,569.87 × 1,965.67
  4. Step 4: Simplify right side
    5,714.65x = 16,845,510.02
  5. Step 5: Solve for x
    x = 16,845,510.02/5,714.65
  6. Step 6: Final answer
    x = 2,947.78

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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.