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Finding the Fourth Proportional to 3,410.56, 5,114.56 and 1,330.32

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Solution

The fourth proportional to 3,410.56, 5,114.56 and 1,330.32 is: 1,994.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.56 : 5,114.56 = 1,330.32 : x
  2. Step 2: Convert to fraction form
    3,410.56/5,114.56 = 1,330.32/x
  3. Step 3: Cross multiply
    3,410.56x = 5,114.56 × 1,330.32
  4. Step 4: Simplify right side
    3,410.56x = 6,804,001.46
  5. Step 5: Solve for x
    x = 6,804,001.46/3,410.56
  6. Step 6: Final answer
    x = 1,994.98

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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.