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Finding the Fourth Proportional to 5,390.57, 7,438.80 and 3,000.46

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Solution

The fourth proportional to 5,390.57, 7,438.80 and 3,000.46 is: 4,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.57 : 7,438.80 = 3,000.46 : x
  2. Step 2: Convert to fraction form
    5,390.57/7,438.80 = 3,000.46/x
  3. Step 3: Cross multiply
    5,390.57x = 7,438.80 × 3,000.46
  4. Step 4: Simplify right side
    5,390.57x = 22,319,821.85
  5. Step 5: Solve for x
    x = 22,319,821.85/5,390.57
  6. Step 6: Final answer
    x = 4,140.53

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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.