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Finding the Fourth Proportional to 5,533.40, 8,301.12 and 1,584.49

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Solution

The fourth proportional to 5,533.40, 8,301.12 and 1,584.49 is: 2,377.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.40 : 8,301.12 = 1,584.49 : x
  2. Step 2: Convert to fraction form
    5,533.40/8,301.12 = 1,584.49/x
  3. Step 3: Cross multiply
    5,533.40x = 8,301.12 × 1,584.49
  4. Step 4: Simplify right side
    5,533.40x = 13,153,041.63
  5. Step 5: Solve for x
    x = 13,153,041.63/5,533.40
  6. Step 6: Final answer
    x = 2,377.03

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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.