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Finding the Fourth Proportional to 3,530.41, 4,869.27 and 2,585.86

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Solution

The fourth proportional to 3,530.41, 4,869.27 and 2,585.86 is: 3,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.41 : 4,869.27 = 2,585.86 : x
  2. Step 2: Convert to fraction form
    3,530.41/4,869.27 = 2,585.86/x
  3. Step 3: Cross multiply
    3,530.41x = 4,869.27 × 2,585.86
  4. Step 4: Simplify right side
    3,530.41x = 12,591,238.35
  5. Step 5: Solve for x
    x = 12,591,238.35/3,530.41
  6. Step 6: Final answer
    x = 3,566.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.