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Finding the Fourth Proportional to 4,102.40, 6,139.02 and 3,004.04

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Solution

The fourth proportional to 4,102.40, 6,139.02 and 3,004.04 is: 4,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.40 : 6,139.02 = 3,004.04 : x
  2. Step 2: Convert to fraction form
    4,102.40/6,139.02 = 3,004.04/x
  3. Step 3: Cross multiply
    4,102.40x = 6,139.02 × 3,004.04
  4. Step 4: Simplify right side
    4,102.40x = 18,441,888.25
  5. Step 5: Solve for x
    x = 18,441,888.25/4,102.40
  6. Step 6: Final answer
    x = 4,495.39

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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.