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Finding the Fourth Proportional to 3,668.94, 5,500.04 and 1,587.64

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Solution

The fourth proportional to 3,668.94, 5,500.04 and 1,587.64 is: 2,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.94 : 5,500.04 = 1,587.64 : x
  2. Step 2: Convert to fraction form
    3,668.94/5,500.04 = 1,587.64/x
  3. Step 3: Cross multiply
    3,668.94x = 5,500.04 × 1,587.64
  4. Step 4: Simplify right side
    3,668.94x = 8,732,083.51
  5. Step 5: Solve for x
    x = 8,732,083.51/3,668.94
  6. Step 6: Final answer
    x = 2,380.00

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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.