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Finding the Fourth Proportional to 5,826.68, 8,037.65 and 3,468.36

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Solution

The fourth proportional to 5,826.68, 8,037.65 and 3,468.36 is: 4,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.68 : 8,037.65 = 3,468.36 : x
  2. Step 2: Convert to fraction form
    5,826.68/8,037.65 = 3,468.36/x
  3. Step 3: Cross multiply
    5,826.68x = 8,037.65 × 3,468.36
  4. Step 4: Simplify right side
    5,826.68x = 27,877,472.42
  5. Step 5: Solve for x
    x = 27,877,472.42/5,826.68
  6. Step 6: Final answer
    x = 4,784.46

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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.