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Finding the Fourth Proportional to 3,531.45, 5,290.72 and 1,653.90

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Solution

The fourth proportional to 3,531.45, 5,290.72 and 1,653.90 is: 2,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.45 : 5,290.72 = 1,653.90 : x
  2. Step 2: Convert to fraction form
    3,531.45/5,290.72 = 1,653.90/x
  3. Step 3: Cross multiply
    3,531.45x = 5,290.72 × 1,653.90
  4. Step 4: Simplify right side
    3,531.45x = 8,750,321.81
  5. Step 5: Solve for x
    x = 8,750,321.81/3,531.45
  6. Step 6: Final answer
    x = 2,477.83

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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.