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Finding the Fourth Proportional to 5,063.64, 7,594.47 and 1,365.90

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Solution

The fourth proportional to 5,063.64, 7,594.47 and 1,365.90 is: 2,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.64 : 7,594.47 = 1,365.90 : x
  2. Step 2: Convert to fraction form
    5,063.64/7,594.47 = 1,365.90/x
  3. Step 3: Cross multiply
    5,063.64x = 7,594.47 × 1,365.90
  4. Step 4: Simplify right side
    5,063.64x = 10,373,286.57
  5. Step 5: Solve for x
    x = 10,373,286.57/5,063.64
  6. Step 6: Final answer
    x = 2,048.58

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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.