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Finding the Fourth Proportional to 3,585.49, 5,378.19 and 1,395.76

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Solution

The fourth proportional to 3,585.49, 5,378.19 and 1,395.76 is: 2,093.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.49 : 5,378.19 = 1,395.76 : x
  2. Step 2: Convert to fraction form
    3,585.49/5,378.19 = 1,395.76/x
  3. Step 3: Cross multiply
    3,585.49x = 5,378.19 × 1,395.76
  4. Step 4: Simplify right side
    3,585.49x = 7,506,662.47
  5. Step 5: Solve for x
    x = 7,506,662.47/3,585.49
  6. Step 6: Final answer
    x = 2,093.62

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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.