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Finding the Fourth Proportional to 4,333.86, 6,501.21 and 1,412.22

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Solution

The fourth proportional to 4,333.86, 6,501.21 and 1,412.22 is: 2,118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.86 : 6,501.21 = 1,412.22 : x
  2. Step 2: Convert to fraction form
    4,333.86/6,501.21 = 1,412.22/x
  3. Step 3: Cross multiply
    4,333.86x = 6,501.21 × 1,412.22
  4. Step 4: Simplify right side
    4,333.86x = 9,181,138.79
  5. Step 5: Solve for x
    x = 9,181,138.79/4,333.86
  6. Step 6: Final answer
    x = 2,118.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.