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Finding the Fourth Proportional to 5,122.64, 7,686.12 and 4,714

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Solution

The fourth proportional to 5,122.64, 7,686.12 and 4,714 is: 7,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.64 : 7,686.12 = 4,714 : x
  2. Step 2: Convert to fraction form
    5,122.64/7,686.12 = 4,714/x
  3. Step 3: Cross multiply
    5,122.64x = 7,686.12 × 4,714
  4. Step 4: Simplify right side
    5,122.64x = 36,232,369.68
  5. Step 5: Solve for x
    x = 36,232,369.68/5,122.64
  6. Step 6: Final answer
    x = 7,072.99

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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.