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Finding the Fourth Proportional to 4,756.61, 6,563.48 and 2,765.63

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Solution

The fourth proportional to 4,756.61, 6,563.48 and 2,765.63 is: 3,816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.61 : 6,563.48 = 2,765.63 : x
  2. Step 2: Convert to fraction form
    4,756.61/6,563.48 = 2,765.63/x
  3. Step 3: Cross multiply
    4,756.61x = 6,563.48 × 2,765.63
  4. Step 4: Simplify right side
    4,756.61x = 18,152,110.55
  5. Step 5: Solve for x
    x = 18,152,110.55/4,756.61
  6. Step 6: Final answer
    x = 3,816.19

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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.