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Finding the Fourth Proportional to 3,404.79, 5,102.35 and 1,428.28

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Solution

The fourth proportional to 3,404.79, 5,102.35 and 1,428.28 is: 2,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.79 : 5,102.35 = 1,428.28 : x
  2. Step 2: Convert to fraction form
    3,404.79/5,102.35 = 1,428.28/x
  3. Step 3: Cross multiply
    3,404.79x = 5,102.35 × 1,428.28
  4. Step 4: Simplify right side
    3,404.79x = 7,287,568.13
  5. Step 5: Solve for x
    x = 7,287,568.13/3,404.79
  6. Step 6: Final answer
    x = 2,140.39

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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.