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Finding the Fourth Proportional to 5,438.67, 7,505.10 and 3,048.35

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Solution

The fourth proportional to 5,438.67, 7,505.10 and 3,048.35 is: 4,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.67 : 7,505.10 = 3,048.35 : x
  2. Step 2: Convert to fraction form
    5,438.67/7,505.10 = 3,048.35/x
  3. Step 3: Cross multiply
    5,438.67x = 7,505.10 × 3,048.35
  4. Step 4: Simplify right side
    5,438.67x = 22,878,118.82
  5. Step 5: Solve for x
    x = 22,878,118.82/5,438.67
  6. Step 6: Final answer
    x = 4,206.57

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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.