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Finding the Fourth Proportional to 5,562.96, 7,677.12 and 3,205.44

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Solution

The fourth proportional to 5,562.96, 7,677.12 and 3,205.44 is: 4,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.96 : 7,677.12 = 3,205.44 : x
  2. Step 2: Convert to fraction form
    5,562.96/7,677.12 = 3,205.44/x
  3. Step 3: Cross multiply
    5,562.96x = 7,677.12 × 3,205.44
  4. Step 4: Simplify right side
    5,562.96x = 24,608,547.53
  5. Step 5: Solve for x
    x = 24,608,547.53/5,562.96
  6. Step 6: Final answer
    x = 4,423.64

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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.