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Finding the Fourth Proportional to 3,296.58, 4,549.13 and 1,971.01

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Solution

The fourth proportional to 3,296.58, 4,549.13 and 1,971.01 is: 2,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.58 : 4,549.13 = 1,971.01 : x
  2. Step 2: Convert to fraction form
    3,296.58/4,549.13 = 1,971.01/x
  3. Step 3: Cross multiply
    3,296.58x = 4,549.13 × 1,971.01
  4. Step 4: Simplify right side
    3,296.58x = 8,966,380.72
  5. Step 5: Solve for x
    x = 8,966,380.72/3,296.58
  6. Step 6: Final answer
    x = 2,719.90

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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.