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Finding the Fourth Proportional to 5,533.80, 8,288.55 and 5,412.30

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Solution

The fourth proportional to 5,533.80, 8,288.55 and 5,412.30 is: 8,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.80 : 8,288.55 = 5,412.30 : x
  2. Step 2: Convert to fraction form
    5,533.80/8,288.55 = 5,412.30/x
  3. Step 3: Cross multiply
    5,533.80x = 8,288.55 × 5,412.30
  4. Step 4: Simplify right side
    5,533.80x = 44,860,119.17
  5. Step 5: Solve for x
    x = 44,860,119.17/5,533.80
  6. Step 6: Final answer
    x = 8,106.57

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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.