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Finding the Fourth Proportional to 3,492.87, 5,246.25 and 2,090.00

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Solution

The fourth proportional to 3,492.87, 5,246.25 and 2,090.00 is: 3,139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.87 : 5,246.25 = 2,090.00 : x
  2. Step 2: Convert to fraction form
    3,492.87/5,246.25 = 2,090.00/x
  3. Step 3: Cross multiply
    3,492.87x = 5,246.25 × 2,090.00
  4. Step 4: Simplify right side
    3,492.87x = 10,964,679.53
  5. Step 5: Solve for x
    x = 10,964,679.53/3,492.87
  6. Step 6: Final answer
    x = 3,139.16

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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.