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Finding the Fourth Proportional to 3,532.92, 5,300.58 and 1,685.40

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Solution

The fourth proportional to 3,532.92, 5,300.58 and 1,685.40 is: 2,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.92 : 5,300.58 = 1,685.40 : x
  2. Step 2: Convert to fraction form
    3,532.92/5,300.58 = 1,685.40/x
  3. Step 3: Cross multiply
    3,532.92x = 5,300.58 × 1,685.40
  4. Step 4: Simplify right side
    3,532.92x = 8,933,597.53
  5. Step 5: Solve for x
    x = 8,933,597.53/3,532.92
  6. Step 6: Final answer
    x = 2,528.67

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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.