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Finding the Fourth Proportional to 3,427.99, 4,730.74 and 2,101.43

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Solution

The fourth proportional to 3,427.99, 4,730.74 and 2,101.43 is: 2,900.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.99 : 4,730.74 = 2,101.43 : x
  2. Step 2: Convert to fraction form
    3,427.99/4,730.74 = 2,101.43/x
  3. Step 3: Cross multiply
    3,427.99x = 4,730.74 × 2,101.43
  4. Step 4: Simplify right side
    3,427.99x = 9,941,325.53
  5. Step 5: Solve for x
    x = 9,941,325.53/3,427.99
  6. Step 6: Final answer
    x = 2,900.05

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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.