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Finding the Fourth Proportional to 3,980.50, 5,492.67 and 2,301.76

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Solution

The fourth proportional to 3,980.50, 5,492.67 and 2,301.76 is: 3,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.50 : 5,492.67 = 2,301.76 : x
  2. Step 2: Convert to fraction form
    3,980.50/5,492.67 = 2,301.76/x
  3. Step 3: Cross multiply
    3,980.50x = 5,492.67 × 2,301.76
  4. Step 4: Simplify right side
    3,980.50x = 12,642,808.10
  5. Step 5: Solve for x
    x = 12,642,808.10/3,980.50
  6. Step 6: Final answer
    x = 3,176.19

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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.