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Finding the Fourth Proportional to 5,386.53, 8,079.81 and 1,490.94

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Solution

The fourth proportional to 5,386.53, 8,079.81 and 1,490.94 is: 2,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.53 : 8,079.81 = 1,490.94 : x
  2. Step 2: Convert to fraction form
    5,386.53/8,079.81 = 1,490.94/x
  3. Step 3: Cross multiply
    5,386.53x = 8,079.81 × 1,490.94
  4. Step 4: Simplify right side
    5,386.53x = 12,046,511.92
  5. Step 5: Solve for x
    x = 12,046,511.92/5,386.53
  6. Step 6: Final answer
    x = 2,236.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.