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Finding the Fourth Proportional to 4,570.74, 6,857.14 and 1,649.05

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Solution

The fourth proportional to 4,570.74, 6,857.14 and 1,649.05 is: 2,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.74 : 6,857.14 = 1,649.05 : x
  2. Step 2: Convert to fraction form
    4,570.74/6,857.14 = 1,649.05/x
  3. Step 3: Cross multiply
    4,570.74x = 6,857.14 × 1,649.05
  4. Step 4: Simplify right side
    4,570.74x = 11,307,748.54
  5. Step 5: Solve for x
    x = 11,307,748.54/4,570.74
  6. Step 6: Final answer
    x = 2,473.94

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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.