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Finding the Fourth Proportional to 3,362.34, 5,041.42 and 1,607.28

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Solution

The fourth proportional to 3,362.34, 5,041.42 and 1,607.28 is: 2,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.34 : 5,041.42 = 1,607.28 : x
  2. Step 2: Convert to fraction form
    3,362.34/5,041.42 = 1,607.28/x
  3. Step 3: Cross multiply
    3,362.34x = 5,041.42 × 1,607.28
  4. Step 4: Simplify right side
    3,362.34x = 8,102,973.54
  5. Step 5: Solve for x
    x = 8,102,973.54/3,362.34
  6. Step 6: Final answer
    x = 2,409.92

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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.