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Finding the Fourth Proportional to 5,069.12, 7,603.94 and 1,606.64

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Solution

The fourth proportional to 5,069.12, 7,603.94 and 1,606.64 is: 2,410.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.12 : 7,603.94 = 1,606.64 : x
  2. Step 2: Convert to fraction form
    5,069.12/7,603.94 = 1,606.64/x
  3. Step 3: Cross multiply
    5,069.12x = 7,603.94 × 1,606.64
  4. Step 4: Simplify right side
    5,069.12x = 12,216,760.16
  5. Step 5: Solve for x
    x = 12,216,760.16/5,069.12
  6. Step 6: Final answer
    x = 2,410.04

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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.