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Finding the Fourth Proportional to 3,602.44, 4,972.14 and 2,275.30

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Solution

The fourth proportional to 3,602.44, 4,972.14 and 2,275.30 is: 3,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.44 : 4,972.14 = 2,275.30 : x
  2. Step 2: Convert to fraction form
    3,602.44/4,972.14 = 2,275.30/x
  3. Step 3: Cross multiply
    3,602.44x = 4,972.14 × 2,275.30
  4. Step 4: Simplify right side
    3,602.44x = 11,313,110.14
  5. Step 5: Solve for x
    x = 11,313,110.14/3,602.44
  6. Step 6: Final answer
    x = 3,140.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.