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Finding the Fourth Proportional to 3,852.54, 5,780.64 and 2,097.47

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Solution

The fourth proportional to 3,852.54, 5,780.64 and 2,097.47 is: 3,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.54 : 5,780.64 = 2,097.47 : x
  2. Step 2: Convert to fraction form
    3,852.54/5,780.64 = 2,097.47/x
  3. Step 3: Cross multiply
    3,852.54x = 5,780.64 × 2,097.47
  4. Step 4: Simplify right side
    3,852.54x = 12,124,719.14
  5. Step 5: Solve for x
    x = 12,124,719.14/3,852.54
  6. Step 6: Final answer
    x = 3,147.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.