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Finding the Fourth Proportional to 5,156.21, 7,114.80 and 3,031.58

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Solution

The fourth proportional to 5,156.21, 7,114.80 and 3,031.58 is: 4,183.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.21 : 7,114.80 = 3,031.58 : x
  2. Step 2: Convert to fraction form
    5,156.21/7,114.80 = 3,031.58/x
  3. Step 3: Cross multiply
    5,156.21x = 7,114.80 × 3,031.58
  4. Step 4: Simplify right side
    5,156.21x = 21,569,085.38
  5. Step 5: Solve for x
    x = 21,569,085.38/5,156.21
  6. Step 6: Final answer
    x = 4,183.13

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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.