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Finding the Fourth Proportional to 6,570.78, 9,057.60 and 5,242.38

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Solution

The fourth proportional to 6,570.78, 9,057.60 and 5,242.38 is: 7,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.78 : 9,057.60 = 5,242.38 : x
  2. Step 2: Convert to fraction form
    6,570.78/9,057.60 = 5,242.38/x
  3. Step 3: Cross multiply
    6,570.78x = 9,057.60 × 5,242.38
  4. Step 4: Simplify right side
    6,570.78x = 47,483,381.09
  5. Step 5: Solve for x
    x = 47,483,381.09/6,570.78
  6. Step 6: Final answer
    x = 7,226.45

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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.