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Finding the Fourth Proportional to 5,245.66, 7,868.95 and 1,350.06

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Solution

The fourth proportional to 5,245.66, 7,868.95 and 1,350.06 is: 2,025.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.66 : 7,868.95 = 1,350.06 : x
  2. Step 2: Convert to fraction form
    5,245.66/7,868.95 = 1,350.06/x
  3. Step 3: Cross multiply
    5,245.66x = 7,868.95 × 1,350.06
  4. Step 4: Simplify right side
    5,245.66x = 10,623,554.64
  5. Step 5: Solve for x
    x = 10,623,554.64/5,245.66
  6. Step 6: Final answer
    x = 2,025.21

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Why These Related Problems?

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