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Finding the Fourth Proportional to 3,492.45, 4,817.16 and 2,164.50

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Solution

The fourth proportional to 3,492.45, 4,817.16 and 2,164.50 is: 2,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.45 : 4,817.16 = 2,164.50 : x
  2. Step 2: Convert to fraction form
    3,492.45/4,817.16 = 2,164.50/x
  3. Step 3: Cross multiply
    3,492.45x = 4,817.16 × 2,164.50
  4. Step 4: Simplify right side
    3,492.45x = 10,426,742.82
  5. Step 5: Solve for x
    x = 10,426,742.82/3,492.45
  6. Step 6: Final answer
    x = 2,985.51

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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.