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Finding the Fourth Proportional to 4,083.30, 5,636.03 and 3,419.10

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Solution

The fourth proportional to 4,083.30, 5,636.03 and 3,419.10 is: 4,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.30 : 5,636.03 = 3,419.10 : x
  2. Step 2: Convert to fraction form
    4,083.30/5,636.03 = 3,419.10/x
  3. Step 3: Cross multiply
    4,083.30x = 5,636.03 × 3,419.10
  4. Step 4: Simplify right side
    4,083.30x = 19,270,133.08
  5. Step 5: Solve for x
    x = 19,270,133.08/4,083.30
  6. Step 6: Final answer
    x = 4,719.25

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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.