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Finding the Fourth Proportional to 5,281.30, 7,294.32 and 3,509.83

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Solution

The fourth proportional to 5,281.30, 7,294.32 and 3,509.83 is: 4,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.30 : 7,294.32 = 3,509.83 : x
  2. Step 2: Convert to fraction form
    5,281.30/7,294.32 = 3,509.83/x
  3. Step 3: Cross multiply
    5,281.30x = 7,294.32 × 3,509.83
  4. Step 4: Simplify right side
    5,281.30x = 25,601,823.17
  5. Step 5: Solve for x
    x = 25,601,823.17/5,281.30
  6. Step 6: Final answer
    x = 4,847.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.