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Finding the Fourth Proportional to 3,684.67, 5,526.06 and 1,087

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Solution

The fourth proportional to 3,684.67, 5,526.06 and 1,087 is: 1,630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.67 : 5,526.06 = 1,087 : x
  2. Step 2: Convert to fraction form
    3,684.67/5,526.06 = 1,087/x
  3. Step 3: Cross multiply
    3,684.67x = 5,526.06 × 1,087
  4. Step 4: Simplify right side
    3,684.67x = 6,006,827.22
  5. Step 5: Solve for x
    x = 6,006,827.22/3,684.67
  6. Step 6: Final answer
    x = 1,630.22

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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.