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Finding the Fourth Proportional to 6,057.70, 8,356.42 and 4,563.01

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Solution

The fourth proportional to 6,057.70, 8,356.42 and 4,563.01 is: 6,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.70 : 8,356.42 = 4,563.01 : x
  2. Step 2: Convert to fraction form
    6,057.70/8,356.42 = 4,563.01/x
  3. Step 3: Cross multiply
    6,057.70x = 8,356.42 × 4,563.01
  4. Step 4: Simplify right side
    6,057.70x = 38,130,418.51
  5. Step 5: Solve for x
    x = 38,130,418.51/6,057.70
  6. Step 6: Final answer
    x = 6,294.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.