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Finding the Fourth Proportional to 3,953.90, 5,931.27 and 1,180.10

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Solution

The fourth proportional to 3,953.90, 5,931.27 and 1,180.10 is: 1,770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.90 : 5,931.27 = 1,180.10 : x
  2. Step 2: Convert to fraction form
    3,953.90/5,931.27 = 1,180.10/x
  3. Step 3: Cross multiply
    3,953.90x = 5,931.27 × 1,180.10
  4. Step 4: Simplify right side
    3,953.90x = 6,999,506.56
  5. Step 5: Solve for x
    x = 6,999,506.56/3,953.90
  6. Step 6: Final answer
    x = 1,770.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.