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Finding the Fourth Proportional to 3,602.16, 5,414.72 and 3,345.36

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Solution

The fourth proportional to 3,602.16, 5,414.72 and 3,345.36 is: 5,028.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.16 : 5,414.72 = 3,345.36 : x
  2. Step 2: Convert to fraction form
    3,602.16/5,414.72 = 3,345.36/x
  3. Step 3: Cross multiply
    3,602.16x = 5,414.72 × 3,345.36
  4. Step 4: Simplify right side
    3,602.16x = 18,114,187.70
  5. Step 5: Solve for x
    x = 18,114,187.70/3,602.16
  6. Step 6: Final answer
    x = 5,028.70

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