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Finding the Fourth Proportional to 5,671.45, 8,493 and 3,585.16

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Solution

The fourth proportional to 5,671.45, 8,493 and 3,585.16 is: 5,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.45 : 8,493 = 3,585.16 : x
  2. Step 2: Convert to fraction form
    5,671.45/8,493 = 3,585.16/x
  3. Step 3: Cross multiply
    5,671.45x = 8,493 × 3,585.16
  4. Step 4: Simplify right side
    5,671.45x = 30,448,763.88
  5. Step 5: Solve for x
    x = 30,448,763.88/5,671.45
  6. Step 6: Final answer
    x = 5,368.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.