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Finding the Fourth Proportional to 5,673.96, 7,830.09 and 3,315.60

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Solution

The fourth proportional to 5,673.96, 7,830.09 and 3,315.60 is: 4,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.96 : 7,830.09 = 3,315.60 : x
  2. Step 2: Convert to fraction form
    5,673.96/7,830.09 = 3,315.60/x
  3. Step 3: Cross multiply
    5,673.96x = 7,830.09 × 3,315.60
  4. Step 4: Simplify right side
    5,673.96x = 25,961,446.40
  5. Step 5: Solve for x
    x = 25,961,446.40/5,673.96
  6. Step 6: Final answer
    x = 4,575.54

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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.