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Finding the Fourth Proportional to 5,880.48, 8,113.68 and 3,396

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Solution

The fourth proportional to 5,880.48, 8,113.68 and 3,396 is: 4,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.48 : 8,113.68 = 3,396 : x
  2. Step 2: Convert to fraction form
    5,880.48/8,113.68 = 3,396/x
  3. Step 3: Cross multiply
    5,880.48x = 8,113.68 × 3,396
  4. Step 4: Simplify right side
    5,880.48x = 27,554,057.28
  5. Step 5: Solve for x
    x = 27,554,057.28/5,880.48
  6. Step 6: Final answer
    x = 4,685.68

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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.