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Finding the Fourth Proportional to 3,585.68, 5,344.24 and 3,580.22

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Solution

The fourth proportional to 3,585.68, 5,344.24 and 3,580.22 is: 5,336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.68 : 5,344.24 = 3,580.22 : x
  2. Step 2: Convert to fraction form
    3,585.68/5,344.24 = 3,580.22/x
  3. Step 3: Cross multiply
    3,585.68x = 5,344.24 × 3,580.22
  4. Step 4: Simplify right side
    3,585.68x = 19,133,554.93
  5. Step 5: Solve for x
    x = 19,133,554.93/3,585.68
  6. Step 6: Final answer
    x = 5,336.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.