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Finding the Fourth Proportional to 5,880.66, 8,113.68 and 3,786

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Solution

The fourth proportional to 5,880.66, 8,113.68 and 3,786 is: 5,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.66 : 8,113.68 = 3,786 : x
  2. Step 2: Convert to fraction form
    5,880.66/8,113.68 = 3,786/x
  3. Step 3: Cross multiply
    5,880.66x = 8,113.68 × 3,786
  4. Step 4: Simplify right side
    5,880.66x = 30,718,392.48
  5. Step 5: Solve for x
    x = 30,718,392.48/5,880.66
  6. Step 6: Final answer
    x = 5,223.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.