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Finding the Fourth Proportional to 5,887, 8,125.14 and 3,403

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Solution

The fourth proportional to 5,887, 8,125.14 and 3,403 is: 4,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887 : 8,125.14 = 3,403 : x
  2. Step 2: Convert to fraction form
    5,887/8,125.14 = 3,403/x
  3. Step 3: Cross multiply
    5,887x = 8,125.14 × 3,403
  4. Step 4: Simplify right side
    5,887x = 27,649,851.42
  5. Step 5: Solve for x
    x = 27,649,851.42/5,887
  6. Step 6: Final answer
    x = 4,696.76

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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.