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Finding the Fourth Proportional to 3,686.32, 5,087.58 and 2,114.38

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Solution

The fourth proportional to 3,686.32, 5,087.58 and 2,114.38 is: 2,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.32 : 5,087.58 = 2,114.38 : x
  2. Step 2: Convert to fraction form
    3,686.32/5,087.58 = 2,114.38/x
  3. Step 3: Cross multiply
    3,686.32x = 5,087.58 × 2,114.38
  4. Step 4: Simplify right side
    3,686.32x = 10,757,051.96
  5. Step 5: Solve for x
    x = 10,757,051.96/3,686.32
  6. Step 6: Final answer
    x = 2,918.10

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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.