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Finding the Fourth Proportional to 4,539.69, 6,807.77 and 1,765.98

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Solution

The fourth proportional to 4,539.69, 6,807.77 and 1,765.98 is: 2,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539.69 : 6,807.77 = 1,765.98 : x
  2. Step 2: Convert to fraction form
    4,539.69/6,807.77 = 1,765.98/x
  3. Step 3: Cross multiply
    4,539.69x = 6,807.77 × 1,765.98
  4. Step 4: Simplify right side
    4,539.69x = 12,022,385.66
  5. Step 5: Solve for x
    x = 12,022,385.66/4,539.69
  6. Step 6: Final answer
    x = 2,648.28

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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.