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Finding the Fourth Proportional to 3,532.35, 5,300.34 and 1,584.16

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Solution

The fourth proportional to 3,532.35, 5,300.34 and 1,584.16 is: 2,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.35 : 5,300.34 = 1,584.16 : x
  2. Step 2: Convert to fraction form
    3,532.35/5,300.34 = 1,584.16/x
  3. Step 3: Cross multiply
    3,532.35x = 5,300.34 × 1,584.16
  4. Step 4: Simplify right side
    3,532.35x = 8,396,586.61
  5. Step 5: Solve for x
    x = 8,396,586.61/3,532.35
  6. Step 6: Final answer
    x = 2,377.05

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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.