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Finding the Fourth Proportional to 4,294.14, 6,442.41 and 1,829.10

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Solution

The fourth proportional to 4,294.14, 6,442.41 and 1,829.10 is: 2,744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.14 : 6,442.41 = 1,829.10 : x
  2. Step 2: Convert to fraction form
    4,294.14/6,442.41 = 1,829.10/x
  3. Step 3: Cross multiply
    4,294.14x = 6,442.41 × 1,829.10
  4. Step 4: Simplify right side
    4,294.14x = 11,783,812.13
  5. Step 5: Solve for x
    x = 11,783,812.13/4,294.14
  6. Step 6: Final answer
    x = 2,744.16

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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.