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Finding the Fourth Proportional to 5,693.20, 8,530.52 and 5,477.20

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Solution

The fourth proportional to 5,693.20, 8,530.52 and 5,477.20 is: 8,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.20 : 8,530.52 = 5,477.20 : x
  2. Step 2: Convert to fraction form
    5,693.20/8,530.52 = 5,477.20/x
  3. Step 3: Cross multiply
    5,693.20x = 8,530.52 × 5,477.20
  4. Step 4: Simplify right side
    5,693.20x = 46,723,364.14
  5. Step 5: Solve for x
    x = 46,723,364.14/5,693.20
  6. Step 6: Final answer
    x = 8,206.87

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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.