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Finding the Fourth Proportional to 4,907.34, 6,771.77 and 2,782.91

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Solution

The fourth proportional to 4,907.34, 6,771.77 and 2,782.91 is: 3,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.34 : 6,771.77 = 2,782.91 : x
  2. Step 2: Convert to fraction form
    4,907.34/6,771.77 = 2,782.91/x
  3. Step 3: Cross multiply
    4,907.34x = 6,771.77 × 2,782.91
  4. Step 4: Simplify right side
    4,907.34x = 18,845,226.45
  5. Step 5: Solve for x
    x = 18,845,226.45/4,907.34
  6. Step 6: Final answer
    x = 3,840.21

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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.