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Finding the Fourth Proportional to 4,123.21, 6,184.12 and 1,490.21

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Solution

The fourth proportional to 4,123.21, 6,184.12 and 1,490.21 is: 2,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.21 : 6,184.12 = 1,490.21 : x
  2. Step 2: Convert to fraction form
    4,123.21/6,184.12 = 1,490.21/x
  3. Step 3: Cross multiply
    4,123.21x = 6,184.12 × 1,490.21
  4. Step 4: Simplify right side
    4,123.21x = 9,215,637.47
  5. Step 5: Solve for x
    x = 9,215,637.47/4,123.21
  6. Step 6: Final answer
    x = 2,235.06

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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.