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Finding the Fourth Proportional to 4,333.79, 6,500.68 and 1,412.09

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Solution

The fourth proportional to 4,333.79, 6,500.68 and 1,412.09 is: 2,118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.79 : 6,500.68 = 1,412.09 : x
  2. Step 2: Convert to fraction form
    4,333.79/6,500.68 = 1,412.09/x
  3. Step 3: Cross multiply
    4,333.79x = 6,500.68 × 1,412.09
  4. Step 4: Simplify right side
    4,333.79x = 9,179,545.22
  5. Step 5: Solve for x
    x = 9,179,545.22/4,333.79
  6. Step 6: Final answer
    x = 2,118.13

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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.