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Finding the Fourth Proportional to 5,690.24, 7,852.16 and 3,205.76

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Solution

The fourth proportional to 5,690.24, 7,852.16 and 3,205.76 is: 4,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.24 : 7,852.16 = 3,205.76 : x
  2. Step 2: Convert to fraction form
    5,690.24/7,852.16 = 3,205.76/x
  3. Step 3: Cross multiply
    5,690.24x = 7,852.16 × 3,205.76
  4. Step 4: Simplify right side
    5,690.24x = 25,172,140.44
  5. Step 5: Solve for x
    x = 25,172,140.44/5,690.24
  6. Step 6: Final answer
    x = 4,423.74

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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.