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Finding the Fourth Proportional to 5,365.12, 8,048.42 and 1,666.66

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Solution

The fourth proportional to 5,365.12, 8,048.42 and 1,666.66 is: 2,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.12 : 8,048.42 = 1,666.66 : x
  2. Step 2: Convert to fraction form
    5,365.12/8,048.42 = 1,666.66/x
  3. Step 3: Cross multiply
    5,365.12x = 8,048.42 × 1,666.66
  4. Step 4: Simplify right side
    5,365.12x = 13,413,971.34
  5. Step 5: Solve for x
    x = 13,413,971.34/5,365.12
  6. Step 6: Final answer
    x = 2,500.22

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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.