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Finding the Fourth Proportional to 6,563.90, 9,057.75 and 4,045.70

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Solution

The fourth proportional to 6,563.90, 9,057.75 and 4,045.70 is: 5,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.90 : 9,057.75 = 4,045.70 : x
  2. Step 2: Convert to fraction form
    6,563.90/9,057.75 = 4,045.70/x
  3. Step 3: Cross multiply
    6,563.90x = 9,057.75 × 4,045.70
  4. Step 4: Simplify right side
    6,563.90x = 36,644,939.18
  5. Step 5: Solve for x
    x = 36,644,939.18/6,563.90
  6. Step 6: Final answer
    x = 5,582.80

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