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Finding the Fourth Proportional to 4,334.68, 6,500.62 and 1,412.30

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Solution

The fourth proportional to 4,334.68, 6,500.62 and 1,412.30 is: 2,118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.68 : 6,500.62 = 1,412.30 : x
  2. Step 2: Convert to fraction form
    4,334.68/6,500.62 = 1,412.30/x
  3. Step 3: Cross multiply
    4,334.68x = 6,500.62 × 1,412.30
  4. Step 4: Simplify right side
    4,334.68x = 9,180,843.64
  5. Step 5: Solve for x
    x = 9,180,843.64/4,334.68
  6. Step 6: Final answer
    x = 2,118.00

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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.