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Finding the Fourth Proportional to 5,235.52, 7,840.32 and 4,419.04

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Solution

The fourth proportional to 5,235.52, 7,840.32 and 4,419.04 is: 6,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.52 : 7,840.32 = 4,419.04 : x
  2. Step 2: Convert to fraction form
    5,235.52/7,840.32 = 4,419.04/x
  3. Step 3: Cross multiply
    5,235.52x = 7,840.32 × 4,419.04
  4. Step 4: Simplify right side
    5,235.52x = 34,646,687.69
  5. Step 5: Solve for x
    x = 34,646,687.69/5,235.52
  6. Step 6: Final answer
    x = 6,617.62

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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.