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Finding the Fourth Proportional to 5,430.46, 8,146.07 and 2,310.12

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Solution

The fourth proportional to 5,430.46, 8,146.07 and 2,310.12 is: 3,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.46 : 8,146.07 = 2,310.12 : x
  2. Step 2: Convert to fraction form
    5,430.46/8,146.07 = 2,310.12/x
  3. Step 3: Cross multiply
    5,430.46x = 8,146.07 × 2,310.12
  4. Step 4: Simplify right side
    5,430.46x = 18,818,399.23
  5. Step 5: Solve for x
    x = 18,818,399.23/5,430.46
  6. Step 6: Final answer
    x = 3,465.34

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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.