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Finding the Fourth Proportional to 3,528.66, 5,293.76 and 1,337.41

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Solution

The fourth proportional to 3,528.66, 5,293.76 and 1,337.41 is: 2,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.66 : 5,293.76 = 1,337.41 : x
  2. Step 2: Convert to fraction form
    3,528.66/5,293.76 = 1,337.41/x
  3. Step 3: Cross multiply
    3,528.66x = 5,293.76 × 1,337.41
  4. Step 4: Simplify right side
    3,528.66x = 7,079,927.49
  5. Step 5: Solve for x
    x = 7,079,927.49/3,528.66
  6. Step 6: Final answer
    x = 2,006.40

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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.