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Finding the Fourth Proportional to 3,667.77, 5,502.06 and 1,588.32

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Solution

The fourth proportional to 3,667.77, 5,502.06 and 1,588.32 is: 2,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.77 : 5,502.06 = 1,588.32 : x
  2. Step 2: Convert to fraction form
    3,667.77/5,502.06 = 1,588.32/x
  3. Step 3: Cross multiply
    3,667.77x = 5,502.06 × 1,588.32
  4. Step 4: Simplify right side
    3,667.77x = 8,739,031.94
  5. Step 5: Solve for x
    x = 8,739,031.94/3,667.77
  6. Step 6: Final answer
    x = 2,382.66

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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.