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Finding the Fourth Proportional to 5,497.88, 8,247 and 1,602.32

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Solution

The fourth proportional to 5,497.88, 8,247 and 1,602.32 is: 2,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.88 : 8,247 = 1,602.32 : x
  2. Step 2: Convert to fraction form
    5,497.88/8,247 = 1,602.32/x
  3. Step 3: Cross multiply
    5,497.88x = 8,247 × 1,602.32
  4. Step 4: Simplify right side
    5,497.88x = 13,214,333.04
  5. Step 5: Solve for x
    x = 13,214,333.04/5,497.88
  6. Step 6: Final answer
    x = 2,403.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.