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Finding the Fourth Proportional to 3,686.61, 5,087.51 and 2,114.69

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Solution

The fourth proportional to 3,686.61, 5,087.51 and 2,114.69 is: 2,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.61 : 5,087.51 = 2,114.69 : x
  2. Step 2: Convert to fraction form
    3,686.61/5,087.51 = 2,114.69/x
  3. Step 3: Cross multiply
    3,686.61x = 5,087.51 × 2,114.69
  4. Step 4: Simplify right side
    3,686.61x = 10,758,483.23
  5. Step 5: Solve for x
    x = 10,758,483.23/3,686.61
  6. Step 6: Final answer
    x = 2,918.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.