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Finding the Fourth Proportional to 3,693.95, 5,097.21 and 2,201.93

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Solution

The fourth proportional to 3,693.95, 5,097.21 and 2,201.93 is: 3,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.95 : 5,097.21 = 2,201.93 : x
  2. Step 2: Convert to fraction form
    3,693.95/5,097.21 = 2,201.93/x
  3. Step 3: Cross multiply
    3,693.95x = 5,097.21 × 2,201.93
  4. Step 4: Simplify right side
    3,693.95x = 11,223,674.13
  5. Step 5: Solve for x
    x = 11,223,674.13/3,693.95
  6. Step 6: Final answer
    x = 3,038.40

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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.