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Finding the Fourth Proportional to 5,134.83, 7,698.32 and 4,254.63

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Solution

The fourth proportional to 5,134.83, 7,698.32 and 4,254.63 is: 6,378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.83 : 7,698.32 = 4,254.63 : x
  2. Step 2: Convert to fraction form
    5,134.83/7,698.32 = 4,254.63/x
  3. Step 3: Cross multiply
    5,134.83x = 7,698.32 × 4,254.63
  4. Step 4: Simplify right side
    5,134.83x = 32,753,503.22
  5. Step 5: Solve for x
    x = 32,753,503.22/5,134.83
  6. Step 6: Final answer
    x = 6,378.69

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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.