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Finding the Fourth Proportional to 4,207.04, 6,311.28 and 1,434

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Solution

The fourth proportional to 4,207.04, 6,311.28 and 1,434 is: 2,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.04 : 6,311.28 = 1,434 : x
  2. Step 2: Convert to fraction form
    4,207.04/6,311.28 = 1,434/x
  3. Step 3: Cross multiply
    4,207.04x = 6,311.28 × 1,434
  4. Step 4: Simplify right side
    4,207.04x = 9,050,375.52
  5. Step 5: Solve for x
    x = 9,050,375.52/4,207.04
  6. Step 6: Final answer
    x = 2,151.25

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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.