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Finding the Fourth Proportional to 5,698.32, 8,535.51 and 3,617.26

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Solution

The fourth proportional to 5,698.32, 8,535.51 and 3,617.26 is: 5,418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.32 : 8,535.51 = 3,617.26 : x
  2. Step 2: Convert to fraction form
    5,698.32/8,535.51 = 3,617.26/x
  3. Step 3: Cross multiply
    5,698.32x = 8,535.51 × 3,617.26
  4. Step 4: Simplify right side
    5,698.32x = 30,875,158.90
  5. Step 5: Solve for x
    x = 30,875,158.90/5,698.32
  6. Step 6: Final answer
    x = 5,418.29

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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.