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Finding the Fourth Proportional to 5,674.32, 7,830.60 and 3,315.99

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Solution

The fourth proportional to 5,674.32, 7,830.60 and 3,315.99 is: 4,576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.32 : 7,830.60 = 3,315.99 : x
  2. Step 2: Convert to fraction form
    5,674.32/7,830.60 = 3,315.99/x
  3. Step 3: Cross multiply
    5,674.32x = 7,830.60 × 3,315.99
  4. Step 4: Simplify right side
    5,674.32x = 25,966,191.29
  5. Step 5: Solve for x
    x = 25,966,191.29/5,674.32
  6. Step 6: Final answer
    x = 4,576.09

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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.