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Finding the Fourth Proportional to 5,509.62, 8,264.25 and 1,349.64

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Solution

The fourth proportional to 5,509.62, 8,264.25 and 1,349.64 is: 2,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.62 : 8,264.25 = 1,349.64 : x
  2. Step 2: Convert to fraction form
    5,509.62/8,264.25 = 1,349.64/x
  3. Step 3: Cross multiply
    5,509.62x = 8,264.25 × 1,349.64
  4. Step 4: Simplify right side
    5,509.62x = 11,153,762.37
  5. Step 5: Solve for x
    x = 11,153,762.37/5,509.62
  6. Step 6: Final answer
    x = 2,024.42

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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.