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Finding the Fourth Proportional to 5,438.68, 7,505.23 and 3,200.05

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Solution

The fourth proportional to 5,438.68, 7,505.23 and 3,200.05 is: 4,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.68 : 7,505.23 = 3,200.05 : x
  2. Step 2: Convert to fraction form
    5,438.68/7,505.23 = 3,200.05/x
  3. Step 3: Cross multiply
    5,438.68x = 7,505.23 × 3,200.05
  4. Step 4: Simplify right side
    5,438.68x = 24,017,111.26
  5. Step 5: Solve for x
    x = 24,017,111.26/5,438.68
  6. Step 6: Final answer
    x = 4,415.98

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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.