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Finding the Fourth Proportional to 3,594.75, 5,390.77 and 1,254.15

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Solution

The fourth proportional to 3,594.75, 5,390.77 and 1,254.15 is: 1,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.75 : 5,390.77 = 1,254.15 : x
  2. Step 2: Convert to fraction form
    3,594.75/5,390.77 = 1,254.15/x
  3. Step 3: Cross multiply
    3,594.75x = 5,390.77 × 1,254.15
  4. Step 4: Simplify right side
    3,594.75x = 6,760,834.20
  5. Step 5: Solve for x
    x = 6,760,834.20/3,594.75
  6. Step 6: Final answer
    x = 1,880.75

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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.