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Finding the Fourth Proportional to 4,203.48, 6,302.13 and 2,013.75

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Solution

The fourth proportional to 4,203.48, 6,302.13 and 2,013.75 is: 3,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.48 : 6,302.13 = 2,013.75 : x
  2. Step 2: Convert to fraction form
    4,203.48/6,302.13 = 2,013.75/x
  3. Step 3: Cross multiply
    4,203.48x = 6,302.13 × 2,013.75
  4. Step 4: Simplify right side
    4,203.48x = 12,690,914.29
  5. Step 5: Solve for x
    x = 12,690,914.29/4,203.48
  6. Step 6: Final answer
    x = 3,019.14

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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.