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Finding the Fourth Proportional to 3,723.35, 5,585.04 and 1,530.54

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Solution

The fourth proportional to 3,723.35, 5,585.04 and 1,530.54 is: 2,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.35 : 5,585.04 = 1,530.54 : x
  2. Step 2: Convert to fraction form
    3,723.35/5,585.04 = 1,530.54/x
  3. Step 3: Cross multiply
    3,723.35x = 5,585.04 × 1,530.54
  4. Step 4: Simplify right side
    3,723.35x = 8,548,127.12
  5. Step 5: Solve for x
    x = 8,548,127.12/3,723.35
  6. Step 6: Final answer
    x = 2,295.82

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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.