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Finding the Fourth Proportional to 3,686.55, 5,087.07 and 2,270.02

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Solution

The fourth proportional to 3,686.55, 5,087.07 and 2,270.02 is: 3,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.55 : 5,087.07 = 2,270.02 : x
  2. Step 2: Convert to fraction form
    3,686.55/5,087.07 = 2,270.02/x
  3. Step 3: Cross multiply
    3,686.55x = 5,087.07 × 2,270.02
  4. Step 4: Simplify right side
    3,686.55x = 11,547,713.86
  5. Step 5: Solve for x
    x = 11,547,713.86/3,686.55
  6. Step 6: Final answer
    x = 3,132.39

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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.