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Finding the Fourth Proportional to 5,219.04, 7,830.54 and 3,140.48

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Solution

The fourth proportional to 5,219.04, 7,830.54 and 3,140.48 is: 4,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.04 : 7,830.54 = 3,140.48 : x
  2. Step 2: Convert to fraction form
    5,219.04/7,830.54 = 3,140.48/x
  3. Step 3: Cross multiply
    5,219.04x = 7,830.54 × 3,140.48
  4. Step 4: Simplify right side
    5,219.04x = 24,591,615.11
  5. Step 5: Solve for x
    x = 24,591,615.11/5,219.04
  6. Step 6: Final answer
    x = 4,711.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.