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Finding the Fourth Proportional to 4,334.86, 6,500.82 and 1,412.44

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Solution

The fourth proportional to 4,334.86, 6,500.82 and 1,412.44 is: 2,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.86 : 6,500.82 = 1,412.44 : x
  2. Step 2: Convert to fraction form
    4,334.86/6,500.82 = 1,412.44/x
  3. Step 3: Cross multiply
    4,334.86x = 6,500.82 × 1,412.44
  4. Step 4: Simplify right side
    4,334.86x = 9,182,018.20
  5. Step 5: Solve for x
    x = 9,182,018.20/4,334.86
  6. Step 6: Final answer
    x = 2,118.18

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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.