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Finding the Fourth Proportional to 5,674.02, 7,829 and 3,315.70

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Solution

The fourth proportional to 5,674.02, 7,829 and 3,315.70 is: 4,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.02 : 7,829 = 3,315.70 : x
  2. Step 2: Convert to fraction form
    5,674.02/7,829 = 3,315.70/x
  3. Step 3: Cross multiply
    5,674.02x = 7,829 × 3,315.70
  4. Step 4: Simplify right side
    5,674.02x = 25,958,615.30
  5. Step 5: Solve for x
    x = 25,958,615.30/5,674.02
  6. Step 6: Final answer
    x = 4,575.00

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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.