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Finding the Fourth Proportional to 3,698.68, 5,544.72 and 1,358.14

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Solution

The fourth proportional to 3,698.68, 5,544.72 and 1,358.14 is: 2,036.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.68 : 5,544.72 = 1,358.14 : x
  2. Step 2: Convert to fraction form
    3,698.68/5,544.72 = 1,358.14/x
  3. Step 3: Cross multiply
    3,698.68x = 5,544.72 × 1,358.14
  4. Step 4: Simplify right side
    3,698.68x = 7,530,506.02
  5. Step 5: Solve for x
    x = 7,530,506.02/3,698.68
  6. Step 6: Final answer
    x = 2,036.00

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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.