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Finding the Fourth Proportional to 5,062, 7,587.32 and 3,825.40

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Solution

The fourth proportional to 5,062, 7,587.32 and 3,825.40 is: 5,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062 : 7,587.32 = 3,825.40 : x
  2. Step 2: Convert to fraction form
    5,062/7,587.32 = 3,825.40/x
  3. Step 3: Cross multiply
    5,062x = 7,587.32 × 3,825.40
  4. Step 4: Simplify right side
    5,062x = 29,024,533.93
  5. Step 5: Solve for x
    x = 29,024,533.93/5,062
  6. Step 6: Final answer
    x = 5,733.81

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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.