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Finding the Fourth Proportional to 5,646.30, 8,468.43 and 3,019.06

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Solution

The fourth proportional to 5,646.30, 8,468.43 and 3,019.06 is: 4,528.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.30 : 8,468.43 = 3,019.06 : x
  2. Step 2: Convert to fraction form
    5,646.30/8,468.43 = 3,019.06/x
  3. Step 3: Cross multiply
    5,646.30x = 8,468.43 × 3,019.06
  4. Step 4: Simplify right side
    5,646.30x = 25,566,698.28
  5. Step 5: Solve for x
    x = 25,566,698.28/5,646.30
  6. Step 6: Final answer
    x = 4,528.04

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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.