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Finding the Fourth Proportional to 5,365.63, 8,046.01 and 1,666.77

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Solution

The fourth proportional to 5,365.63, 8,046.01 and 1,666.77 is: 2,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.63 : 8,046.01 = 1,666.77 : x
  2. Step 2: Convert to fraction form
    5,365.63/8,046.01 = 1,666.77/x
  3. Step 3: Cross multiply
    5,365.63x = 8,046.01 × 1,666.77
  4. Step 4: Simplify right side
    5,365.63x = 13,410,848.09
  5. Step 5: Solve for x
    x = 13,410,848.09/5,365.63
  6. Step 6: Final answer
    x = 2,499.40

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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.