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Finding the Fourth Proportional to 5,693.40, 8,540.52 and 1,533.40

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Solution

The fourth proportional to 5,693.40, 8,540.52 and 1,533.40 is: 2,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.40 : 8,540.52 = 1,533.40 : x
  2. Step 2: Convert to fraction form
    5,693.40/8,540.52 = 1,533.40/x
  3. Step 3: Cross multiply
    5,693.40x = 8,540.52 × 1,533.40
  4. Step 4: Simplify right side
    5,693.40x = 13,096,033.37
  5. Step 5: Solve for x
    x = 13,096,033.37/5,693.40
  6. Step 6: Final answer
    x = 2,300.21

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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.