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Finding the Fourth Proportional to 3,585.72, 5,378.56 and 1,395.98

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Solution

The fourth proportional to 3,585.72, 5,378.56 and 1,395.98 is: 2,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.72 : 5,378.56 = 1,395.98 : x
  2. Step 2: Convert to fraction form
    3,585.72/5,378.56 = 1,395.98/x
  3. Step 3: Cross multiply
    3,585.72x = 5,378.56 × 1,395.98
  4. Step 4: Simplify right side
    3,585.72x = 7,508,362.19
  5. Step 5: Solve for x
    x = 7,508,362.19/3,585.72
  6. Step 6: Final answer
    x = 2,093.96

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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.