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Finding the Fourth Proportional to 4,123.90, 6,173.70 and 3,637.90

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Solution

The fourth proportional to 4,123.90, 6,173.70 and 3,637.90 is: 5,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.90 : 6,173.70 = 3,637.90 : x
  2. Step 2: Convert to fraction form
    4,123.90/6,173.70 = 3,637.90/x
  3. Step 3: Cross multiply
    4,123.90x = 6,173.70 × 3,637.90
  4. Step 4: Simplify right side
    4,123.90x = 22,459,303.23
  5. Step 5: Solve for x
    x = 22,459,303.23/4,123.90
  6. Step 6: Final answer
    x = 5,446.13

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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.