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Finding the Fourth Proportional to 3,293.40, 4,921.02 and 2,775

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Solution

The fourth proportional to 3,293.40, 4,921.02 and 2,775 is: 4,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.40 : 4,921.02 = 2,775 : x
  2. Step 2: Convert to fraction form
    3,293.40/4,921.02 = 2,775/x
  3. Step 3: Cross multiply
    3,293.40x = 4,921.02 × 2,775
  4. Step 4: Simplify right side
    3,293.40x = 13,655,830.50
  5. Step 5: Solve for x
    x = 13,655,830.50/3,293.40
  6. Step 6: Final answer
    x = 4,146.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.