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Finding the Fourth Proportional to 5,438.99, 7,505.79 and 3,314.52

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Solution

The fourth proportional to 5,438.99, 7,505.79 and 3,314.52 is: 4,574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.99 : 7,505.79 = 3,314.52 : x
  2. Step 2: Convert to fraction form
    5,438.99/7,505.79 = 3,314.52/x
  3. Step 3: Cross multiply
    5,438.99x = 7,505.79 × 3,314.52
  4. Step 4: Simplify right side
    5,438.99x = 24,878,126.62
  5. Step 5: Solve for x
    x = 24,878,126.62/5,438.99
  6. Step 6: Final answer
    x = 4,574.04

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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.