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Finding the Fourth Proportional to 3,562.95, 5,346.17 and 2,004.63

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Solution

The fourth proportional to 3,562.95, 5,346.17 and 2,004.63 is: 3,007.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.95 : 5,346.17 = 2,004.63 : x
  2. Step 2: Convert to fraction form
    3,562.95/5,346.17 = 2,004.63/x
  3. Step 3: Cross multiply
    3,562.95x = 5,346.17 × 2,004.63
  4. Step 4: Simplify right side
    3,562.95x = 10,717,082.74
  5. Step 5: Solve for x
    x = 10,717,082.74/3,562.95
  6. Step 6: Final answer
    x = 3,007.92

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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.