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Finding the Fourth Proportional to 4,097.90, 5,649.38 and 3,465.89

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Solution

The fourth proportional to 4,097.90, 5,649.38 and 3,465.89 is: 4,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.90 : 5,649.38 = 3,465.89 : x
  2. Step 2: Convert to fraction form
    4,097.90/5,649.38 = 3,465.89/x
  3. Step 3: Cross multiply
    4,097.90x = 5,649.38 × 3,465.89
  4. Step 4: Simplify right side
    4,097.90x = 19,580,084.07
  5. Step 5: Solve for x
    x = 19,580,084.07/4,097.90
  6. Step 6: Final answer
    x = 4,778.07

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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.