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Finding the Fourth Proportional to 4,398, 6,598.62 and 2,317.92

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Solution

The fourth proportional to 4,398, 6,598.62 and 2,317.92 is: 3,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,398 : 6,598.62 = 2,317.92 : x
  2. Step 2: Convert to fraction form
    4,398/6,598.62 = 2,317.92/x
  3. Step 3: Cross multiply
    4,398x = 6,598.62 × 2,317.92
  4. Step 4: Simplify right side
    4,398x = 15,295,073.27
  5. Step 5: Solve for x
    x = 15,295,073.27/4,398
  6. Step 6: Final answer
    x = 3,477.73

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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.