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Finding the Fourth Proportional to 3,427.47, 4,730.00 and 2,101.91

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Solution

The fourth proportional to 3,427.47, 4,730.00 and 2,101.91 is: 2,900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.47 : 4,730.00 = 2,101.91 : x
  2. Step 2: Convert to fraction form
    3,427.47/4,730.00 = 2,101.91/x
  3. Step 3: Cross multiply
    3,427.47x = 4,730.00 × 2,101.91
  4. Step 4: Simplify right side
    3,427.47x = 9,942,000.14
  5. Step 5: Solve for x
    x = 9,942,000.14/3,427.47
  6. Step 6: Final answer
    x = 2,900.68

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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.