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Finding the Fourth Proportional to 3,980.60, 5,492.82 and 2,301.68

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Solution

The fourth proportional to 3,980.60, 5,492.82 and 2,301.68 is: 3,176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.60 : 5,492.82 = 2,301.68 : x
  2. Step 2: Convert to fraction form
    3,980.60/5,492.82 = 2,301.68/x
  3. Step 3: Cross multiply
    3,980.60x = 5,492.82 × 2,301.68
  4. Step 4: Simplify right side
    3,980.60x = 12,642,713.94
  5. Step 5: Solve for x
    x = 12,642,713.94/3,980.60
  6. Step 6: Final answer
    x = 3,176.08

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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.