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Finding the Fourth Proportional to 5,685.24, 8,530.62 and 4,288.77

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Solution

The fourth proportional to 5,685.24, 8,530.62 and 4,288.77 is: 6,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.24 : 8,530.62 = 4,288.77 : x
  2. Step 2: Convert to fraction form
    5,685.24/8,530.62 = 4,288.77/x
  3. Step 3: Cross multiply
    5,685.24x = 8,530.62 × 4,288.77
  4. Step 4: Simplify right side
    5,685.24x = 36,585,867.14
  5. Step 5: Solve for x
    x = 36,585,867.14/5,685.24
  6. Step 6: Final answer
    x = 6,435.24

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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.