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Finding the Fourth Proportional to 4,740.70, 6,542.14 and 2,644.82

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Solution

The fourth proportional to 4,740.70, 6,542.14 and 2,644.82 is: 3,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.70 : 6,542.14 = 2,644.82 : x
  2. Step 2: Convert to fraction form
    4,740.70/6,542.14 = 2,644.82/x
  3. Step 3: Cross multiply
    4,740.70x = 6,542.14 × 2,644.82
  4. Step 4: Simplify right side
    4,740.70x = 17,302,782.71
  5. Step 5: Solve for x
    x = 17,302,782.71/4,740.70
  6. Step 6: Final answer
    x = 3,649.84

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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.