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Finding the Fourth Proportional to 4,911.60, 6,773.49 and 3,655.77

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Solution

The fourth proportional to 4,911.60, 6,773.49 and 3,655.77 is: 5,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.60 : 6,773.49 = 3,655.77 : x
  2. Step 2: Convert to fraction form
    4,911.60/6,773.49 = 3,655.77/x
  3. Step 3: Cross multiply
    4,911.60x = 6,773.49 × 3,655.77
  4. Step 4: Simplify right side
    4,911.60x = 24,762,321.54
  5. Step 5: Solve for x
    x = 24,762,321.54/4,911.60
  6. Step 6: Final answer
    x = 5,041.60

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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.