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Finding the Fourth Proportional to 3,607.14, 5,410.76 and 1,416.90

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Solution

The fourth proportional to 3,607.14, 5,410.76 and 1,416.90 is: 2,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.14 : 5,410.76 = 1,416.90 : x
  2. Step 2: Convert to fraction form
    3,607.14/5,410.76 = 1,416.90/x
  3. Step 3: Cross multiply
    3,607.14x = 5,410.76 × 1,416.90
  4. Step 4: Simplify right side
    3,607.14x = 7,666,505.84
  5. Step 5: Solve for x
    x = 7,666,505.84/3,607.14
  6. Step 6: Final answer
    x = 2,125.37

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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.