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Finding the Fourth Proportional to 5,582.66, 8,372.95 and 1,884.81

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Solution

The fourth proportional to 5,582.66, 8,372.95 and 1,884.81 is: 2,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.66 : 8,372.95 = 1,884.81 : x
  2. Step 2: Convert to fraction form
    5,582.66/8,372.95 = 1,884.81/x
  3. Step 3: Cross multiply
    5,582.66x = 8,372.95 × 1,884.81
  4. Step 4: Simplify right side
    5,582.66x = 15,781,415.18
  5. Step 5: Solve for x
    x = 15,781,415.18/5,582.66
  6. Step 6: Final answer
    x = 2,826.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.