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Finding the Fourth Proportional to 3,527.63, 5,285.94 and 1,335.17

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Solution

The fourth proportional to 3,527.63, 5,285.94 and 1,335.17 is: 2,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.63 : 5,285.94 = 1,335.17 : x
  2. Step 2: Convert to fraction form
    3,527.63/5,285.94 = 1,335.17/x
  3. Step 3: Cross multiply
    3,527.63x = 5,285.94 × 1,335.17
  4. Step 4: Simplify right side
    3,527.63x = 7,057,602.08
  5. Step 5: Solve for x
    x = 7,057,602.08/3,527.63
  6. Step 6: Final answer
    x = 2,000.67

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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.