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Finding the Fourth Proportional to 3,886.34, 5,792.00 and 3,880.16

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Solution

The fourth proportional to 3,886.34, 5,792.00 and 3,880.16 is: 5,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.34 : 5,792.00 = 3,880.16 : x
  2. Step 2: Convert to fraction form
    3,886.34/5,792.00 = 3,880.16/x
  3. Step 3: Cross multiply
    3,886.34x = 5,792.00 × 3,880.16
  4. Step 4: Simplify right side
    3,886.34x = 22,473,838.36
  5. Step 5: Solve for x
    x = 22,473,838.36/3,886.34
  6. Step 6: Final answer
    x = 5,782.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.