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Finding the Fourth Proportional to 5,505.60, 7,598.16 and 3,410.40

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Solution

The fourth proportional to 5,505.60, 7,598.16 and 3,410.40 is: 4,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.60 : 7,598.16 = 3,410.40 : x
  2. Step 2: Convert to fraction form
    5,505.60/7,598.16 = 3,410.40/x
  3. Step 3: Cross multiply
    5,505.60x = 7,598.16 × 3,410.40
  4. Step 4: Simplify right side
    5,505.60x = 25,912,764.86
  5. Step 5: Solve for x
    x = 25,912,764.86/5,505.60
  6. Step 6: Final answer
    x = 4,706.62

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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.