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Finding the Fourth Proportional to 5,143, 7,714.86 and 2,065

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Solution

The fourth proportional to 5,143, 7,714.86 and 2,065 is: 3,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143 : 7,714.86 = 2,065 : x
  2. Step 2: Convert to fraction form
    5,143/7,714.86 = 2,065/x
  3. Step 3: Cross multiply
    5,143x = 7,714.86 × 2,065
  4. Step 4: Simplify right side
    5,143x = 15,931,185.90
  5. Step 5: Solve for x
    x = 15,931,185.90/5,143
  6. Step 6: Final answer
    x = 3,097.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.