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Finding the Fourth Proportional to 5,364.00, 8,046.03 and 1,666.14

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Solution

The fourth proportional to 5,364.00, 8,046.03 and 1,666.14 is: 2,499.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.00 : 8,046.03 = 1,666.14 : x
  2. Step 2: Convert to fraction form
    5,364.00/8,046.03 = 1,666.14/x
  3. Step 3: Cross multiply
    5,364.00x = 8,046.03 × 1,666.14
  4. Step 4: Simplify right side
    5,364.00x = 13,405,856.39
  5. Step 5: Solve for x
    x = 13,405,856.39/5,364.00
  6. Step 6: Final answer
    x = 2,499.23

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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.