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Finding the Fourth Proportional to 5,494.10, 7,580.07 and 3,505.30

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Solution

The fourth proportional to 5,494.10, 7,580.07 and 3,505.30 is: 4,836.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.10 : 7,580.07 = 3,505.30 : x
  2. Step 2: Convert to fraction form
    5,494.10/7,580.07 = 3,505.30/x
  3. Step 3: Cross multiply
    5,494.10x = 7,580.07 × 3,505.30
  4. Step 4: Simplify right side
    5,494.10x = 26,570,400.42
  5. Step 5: Solve for x
    x = 26,570,400.42/5,494.10
  6. Step 6: Final answer
    x = 4,836.17

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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.