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Finding the Fourth Proportional to 3,980.42, 5,492.04 and 2,783.92

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Solution

The fourth proportional to 3,980.42, 5,492.04 and 2,783.92 is: 3,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.42 : 5,492.04 = 2,783.92 : x
  2. Step 2: Convert to fraction form
    3,980.42/5,492.04 = 2,783.92/x
  3. Step 3: Cross multiply
    3,980.42x = 5,492.04 × 2,783.92
  4. Step 4: Simplify right side
    3,980.42x = 15,289,400.00
  5. Step 5: Solve for x
    x = 15,289,400.00/3,980.42
  6. Step 6: Final answer
    x = 3,841.15

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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.