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Finding the Fourth Proportional to 5,948.60, 8,205.35 and 3,826.89

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Solution

The fourth proportional to 5,948.60, 8,205.35 and 3,826.89 is: 5,278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.60 : 8,205.35 = 3,826.89 : x
  2. Step 2: Convert to fraction form
    5,948.60/8,205.35 = 3,826.89/x
  3. Step 3: Cross multiply
    5,948.60x = 8,205.35 × 3,826.89
  4. Step 4: Simplify right side
    5,948.60x = 31,400,973.24
  5. Step 5: Solve for x
    x = 31,400,973.24/5,948.60
  6. Step 6: Final answer
    x = 5,278.72

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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.