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Finding the Fourth Proportional to 5,286.65, 7,931.82 and 3,310.02

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Solution

The fourth proportional to 5,286.65, 7,931.82 and 3,310.02 is: 4,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.65 : 7,931.82 = 3,310.02 : x
  2. Step 2: Convert to fraction form
    5,286.65/7,931.82 = 3,310.02/x
  3. Step 3: Cross multiply
    5,286.65x = 7,931.82 × 3,310.02
  4. Step 4: Simplify right side
    5,286.65x = 26,254,482.84
  5. Step 5: Solve for x
    x = 26,254,482.84/5,286.65
  6. Step 6: Final answer
    x = 4,966.19

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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.