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Finding the Fourth Proportional to 4,923.63, 6,790.05 and 3,667.77

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Solution

The fourth proportional to 4,923.63, 6,790.05 and 3,667.77 is: 5,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.63 : 6,790.05 = 3,667.77 : x
  2. Step 2: Convert to fraction form
    4,923.63/6,790.05 = 3,667.77/x
  3. Step 3: Cross multiply
    4,923.63x = 6,790.05 × 3,667.77
  4. Step 4: Simplify right side
    4,923.63x = 24,904,341.69
  5. Step 5: Solve for x
    x = 24,904,341.69/4,923.63
  6. Step 6: Final answer
    x = 5,058.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.