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Finding the Fourth Proportional to 3,599.40, 4,966.20 and 2,854.20

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Solution

The fourth proportional to 3,599.40, 4,966.20 and 2,854.20 is: 3,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.40 : 4,966.20 = 2,854.20 : x
  2. Step 2: Convert to fraction form
    3,599.40/4,966.20 = 2,854.20/x
  3. Step 3: Cross multiply
    3,599.40x = 4,966.20 × 2,854.20
  4. Step 4: Simplify right side
    3,599.40x = 14,174,528.04
  5. Step 5: Solve for x
    x = 14,174,528.04/3,599.40
  6. Step 6: Final answer
    x = 3,938.03

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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.