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Finding the Fourth Proportional to 4,276, 6,414 and 1,354.53

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Solution

The fourth proportional to 4,276, 6,414 and 1,354.53 is: 2,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276 : 6,414 = 1,354.53 : x
  2. Step 2: Convert to fraction form
    4,276/6,414 = 1,354.53/x
  3. Step 3: Cross multiply
    4,276x = 6,414 × 1,354.53
  4. Step 4: Simplify right side
    4,276x = 8,687,955.42
  5. Step 5: Solve for x
    x = 8,687,955.42/4,276
  6. Step 6: Final answer
    x = 2,031.80

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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.