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Finding the Fourth Proportional to 4,270.32, 6,400.08 and 2,322

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Solution

The fourth proportional to 4,270.32, 6,400.08 and 2,322 is: 3,480.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.32 : 6,400.08 = 2,322 : x
  2. Step 2: Convert to fraction form
    4,270.32/6,400.08 = 2,322/x
  3. Step 3: Cross multiply
    4,270.32x = 6,400.08 × 2,322
  4. Step 4: Simplify right side
    4,270.32x = 14,860,985.76
  5. Step 5: Solve for x
    x = 14,860,985.76/4,270.32
  6. Step 6: Final answer
    x = 3,480.06

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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.