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Finding the Fourth Proportional to 3,684.56, 5,526.84 and 1,345.04

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Solution

The fourth proportional to 3,684.56, 5,526.84 and 1,345.04 is: 2,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.56 : 5,526.84 = 1,345.04 : x
  2. Step 2: Convert to fraction form
    3,684.56/5,526.84 = 1,345.04/x
  3. Step 3: Cross multiply
    3,684.56x = 5,526.84 × 1,345.04
  4. Step 4: Simplify right side
    3,684.56x = 7,433,820.87
  5. Step 5: Solve for x
    x = 7,433,820.87/3,684.56
  6. Step 6: Final answer
    x = 2,017.56

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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.