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Finding the Fourth Proportional to 4,570.10, 6,855.87 and 1,649.12

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Solution

The fourth proportional to 4,570.10, 6,855.87 and 1,649.12 is: 2,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.10 : 6,855.87 = 1,649.12 : x
  2. Step 2: Convert to fraction form
    4,570.10/6,855.87 = 1,649.12/x
  3. Step 3: Cross multiply
    4,570.10x = 6,855.87 × 1,649.12
  4. Step 4: Simplify right side
    4,570.10x = 11,306,152.33
  5. Step 5: Solve for x
    x = 11,306,152.33/4,570.10
  6. Step 6: Final answer
    x = 2,473.94

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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.